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sabrinahaley97

  • 3 years ago

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  1. anonymous
    • 3 years ago
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    \[(5x^2 + 3x + 4) − (2x^2 − 6x + 3)\]distribute the minus sign and get \[5x^2 + 3x + 4 -2x^2 + 6x - 3)\]

  2. anonymous
    • 3 years ago
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    since you are only asked for B you job is to compute \(3+6\)

  3. anonymous
    • 3 years ago
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    yes

  4. jim_thompson5910
    • 3 years ago
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    Add up 3x^2 - 9 and 2x + 9 So (3x^2 - 9) + (2x + 9) = ???

  5. sabrinahaley97
    • 3 years ago
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    5x^2 ?

  6. jim_thompson5910
    • 3 years ago
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    Sorry, I didn't see the first x Add x, 3x^2 - 9 and 2x+9 (x) + (3x^2 - 9) + (2x + 9) x + 3x^2 - 9 + 2x + 9 3x^2 + 3x + 0 3x^2 + 3x

  7. jim_thompson5910
    • 3 years ago
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    So after adding x, 3x^2 - 9 and 2x + 9, you will get 3x^2 + 3x, which is the total distance covered

  8. sabrinahaley97
    • 3 years ago
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    soo its 3x^2 + 3x

  9. anonymous
    • 3 years ago
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    add them up \[x+3x^2 - 9+2x + 9\]

  10. anonymous
    • 3 years ago
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    yes

  11. sabrinahaley97
    • 3 years ago
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    thanks!

  12. anonymous
    • 3 years ago
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    they really reach for these "word problems" don't they ?

  13. anonymous
    • 3 years ago
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    they could have said "add the polynomials"

  14. sabrinahaley97
    • 3 years ago
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    LOLLL yess they do !! Can you guys do me onee more favor and just double check my work ?

  15. jim_thompson5910
    • 3 years ago
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    sure, what do you need to check

  16. sabrinahaley97
    • 3 years ago
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    ill write the 5 questions and show you my answers

  17. sabrinahaley97
    • 3 years ago
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    1. Simplify the following expression: (x − 8y) - (2x − 4y)If the final answer is written in the form Ax + By, what is the value of B? 2. Simplify: (4x − 6) − (5x + 1) 3. Simplify: (5x^2 + 3x + 4) + (5x^2 + 5x − 1) 4. Simplify: (4x − 6) + (3x + 6) & You helped me with the other 2 questions so i just put the ones i did on my own but these were my answers 1. 4y 2. -x-7 3. 10x^2 + 8x + 5 4. 7x+12

  18. jim_thompson5910
    • 3 years ago
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    ok one sec

  19. sabrinahaley97
    • 3 years ago
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    alrighty :] Thanks!!

  20. jim_thompson5910
    • 3 years ago
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    #1 the form is form Ax + By they want the value of B, so the answer cannot be 4y

  21. jim_thompson5910
    • 3 years ago
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    besides, -8y + 4y isn't 4y anyway you lost a sign somewhere

  22. sabrinahaley97
    • 3 years ago
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    Im bad with my signs /: negatives and positives -.- so confusing

  23. jim_thompson5910
    • 3 years ago
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    think of it like this -8 + 4 is the same as saying you're 8 dollars in debt, but you paid off $4 of that debt, so you're now 4 dollars in debt

  24. jim_thompson5910
    • 3 years ago
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    so that explains how -8 + 4 = -4

  25. jim_thompson5910
    • 3 years ago
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    and why -8y + 4y = -4y

  26. sabrinahaley97
    • 3 years ago
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    so itd be -4?

  27. jim_thompson5910
    • 3 years ago
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    B is -4, yep

  28. sabrinahaley97
    • 3 years ago
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    oki

  29. jim_thompson5910
    • 3 years ago
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    # 2 is correct, so congrats on that

  30. sabrinahaley97
    • 3 years ago
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    thanks :]

  31. jim_thompson5910
    • 3 years ago
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    #3 is close

  32. jim_thompson5910
    • 3 years ago
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    but not correct fully

  33. jim_thompson5910
    • 3 years ago
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    4 + (-1) is NOT 5

  34. sabrinahaley97
    • 3 years ago
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    -3?

  35. jim_thompson5910
    • 3 years ago
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    you have 4 dollars you add on 1 IOU

  36. jim_thompson5910
    • 3 years ago
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    you really have 4-1 = 3 dollars left (after you pay off the IOU)

  37. jim_thompson5910
    • 3 years ago
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    so that's why 4 + (-1) = 4 - 1 = 3

  38. sabrinahaley97
    • 3 years ago
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    oh alright ! i get it now.

  39. jim_thompson5910
    • 3 years ago
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    ok great

  40. jim_thompson5910
    • 3 years ago
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    # 4 is also incorrect

  41. sabrinahaley97
    • 3 years ago
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    sorry im blonde it takes a little bit.

  42. jim_thompson5910
    • 3 years ago
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    that's ok, just practice practice practice and hair color is just skin deep...has nothing to do with intelligence

  43. sabrinahaley97
    • 3 years ago
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    Lol yeah , im guessing #4 is 7x-12

  44. jim_thompson5910
    • 3 years ago
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    -6 + 6 = ???

  45. jim_thompson5910
    • 3 years ago
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    -6 means you are $6 in debt add on $6, so you are paying off $6 are you still in debt?

  46. sabrinahaley97
    • 3 years ago
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    nope itd be zero :o

  47. jim_thompson5910
    • 3 years ago
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    yep

  48. jim_thompson5910
    • 3 years ago
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    -6+6 = 0

  49. sabrinahaley97
    • 3 years ago
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    so the answers just 7x?

  50. jim_thompson5910
    • 3 years ago
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    so you'd have 7x+0 or just 7x

  51. jim_thompson5910
    • 3 years ago
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    you got it

  52. sabrinahaley97
    • 3 years ago
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    ok aha :]

  53. jim_thompson5910
    • 3 years ago
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    just watch out for the signs and try not to forget any

  54. sabrinahaley97
    • 3 years ago
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    Ill think of the whole dollar thing next time i come to the signs , Thank you so much ! ! :]

  55. jim_thompson5910
    • 3 years ago
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    that's how I grasp negatives when I stumble a bit, and you're welcome

  56. sabrinahaley97
    • 3 years ago
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    Ive always troubled negatives , ive been taking algebra 1 for 3 years now , and havent passed . Im working so much harder now ,

  57. jim_thompson5910
    • 3 years ago
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    have you thought of using money terms for negatives before? I'm just curious how your teachers have taught negatives in the past

  58. sabrinahaley97
    • 3 years ago
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    ive heard of it but it was never enforced.

  59. jim_thompson5910
    • 3 years ago
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    I gotcha, so they brought it up (maybe once or twice), but never really stuck to it

  60. sabrinahaley97
    • 3 years ago
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    nopeeeee

  61. sabrinahaley97
    • 3 years ago
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    Im trying to finish up my work for next week so im ahead so i can spend my spring break with my younger sister , would you mind helping me with Multiplying monomials?

  62. jim_thompson5910
    • 3 years ago
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    sure I can help

  63. sabrinahaley97
    • 3 years ago
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    Choose the correct simplification of the expression d^3 • d^5. d d^15 d^2 d^8

  64. jim_thompson5910
    • 3 years ago
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    what did you get

  65. sabrinahaley97
    • 3 years ago
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    the arrow represents the degree of the monomials incase you didnt already know lol. and i think its d^15??

  66. jim_thompson5910
    • 3 years ago
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    ^ means exponents, yes I know and no it's not d^15

  67. jim_thompson5910
    • 3 years ago
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    if you are multiplying expressions with the same base, then you add the corresponding exponents

  68. jim_thompson5910
    • 3 years ago
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    example x^2 times x^3 = x^(2+3) = x^5

  69. sabrinahaley97
    • 3 years ago
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    Alright that sounds a little better so d^8 ?

  70. jim_thompson5910
    • 3 years ago
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    because you can expand out the 'x' terms and you'll see 5 total x terms

  71. jim_thompson5910
    • 3 years ago
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    yep d^8

  72. sabrinahaley97
    • 3 years ago
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    alright you make this so much easier than the lesson lol

  73. jim_thompson5910
    • 3 years ago
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    lol glad to hear that

  74. jim_thompson5910
    • 3 years ago
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    glad it's finally clicking

  75. sabrinahaley97
    • 3 years ago
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    Choose the correct simplification of the expression (b^5)^4. b^9 b^625 b^20 b

  76. sabrinahaley97
    • 3 years ago
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    b^20 ?

  77. jim_thompson5910
    • 3 years ago
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    you got ???

  78. jim_thompson5910
    • 3 years ago
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    perfect

  79. jim_thompson5910
    • 3 years ago
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    you're a total pro at this

  80. sabrinahaley97
    • 3 years ago
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    HA i wish!

  81. jim_thompson5910
    • 3 years ago
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    you're just not giving yourself enough credit

  82. sabrinahaley97
    • 3 years ago
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    Choose the correct simplification of the expression (3x)^4. 81x^4 12x^5 81x^5 12x^4

  83. jim_thompson5910
    • 3 years ago
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    raise each piece to the 4th power

  84. sabrinahaley97
    • 3 years ago
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    81x^4 ?

  85. jim_thompson5910
    • 3 years ago
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    so you raise 3 to the 4th power to get ____

  86. jim_thompson5910
    • 3 years ago
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    yep, you got it

  87. jim_thompson5910
    • 3 years ago
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    see you know this stuff

  88. sabrinahaley97
    • 3 years ago
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    haha slowly but getting it !! :)

  89. jim_thompson5910
    • 3 years ago
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    well as long as you get there, that's all that matters

  90. sabrinahaley97
    • 3 years ago
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    Choose the correct simplification of the expression (x^2y)^2. x^4y^3 x^6y^6 x^4y^2 xy^4

  91. jim_thompson5910
    • 3 years ago
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    what did you get

  92. sabrinahaley97
    • 3 years ago
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    Havent even tried it yet lol .but im thinking the ^2 on the outside is going to distribute to the ones in the parenthese?

  93. jim_thompson5910
    • 3 years ago
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    yes that's one way of thinking about it basically you raise each part to the 2nd power

  94. jim_thompson5910
    • 3 years ago
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    x^2 to the 2nd power ----> x^2 * x^2 = x^(2+2) = x^4

  95. jim_thompson5910
    • 3 years ago
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    y to the second power -----> y^2

  96. jim_thompson5910
    • 3 years ago
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    or you can multiply the exponents multiply the outer by each of the inner

  97. sabrinahaley97
    • 3 years ago
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    so x^4y^2

  98. jim_thompson5910
    • 3 years ago
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    yep

  99. sabrinahaley97
    • 3 years ago
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    :] this isnt so hard

  100. jim_thompson5910
    • 3 years ago
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    no, it's not at all just depends on how much practice you have and how you look at it

  101. sabrinahaley97
    • 3 years ago
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    Choose the correct simplification of the expression b^5 • b^4. b b^9 b^20 b^−1

  102. jim_thompson5910
    • 3 years ago
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    you got _____

  103. sabrinahaley97
    • 3 years ago
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    b^9 ?

  104. jim_thompson5910
    • 3 years ago
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    correct

  105. sabrinahaley97
    • 3 years ago
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    :DD !!

  106. jim_thompson5910
    • 3 years ago
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    you add the exponents I'll brb

  107. sabrinahaley97
    • 3 years ago
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    3 more ,

  108. sabrinahaley97
    • 3 years ago
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    ok sounds good.

  109. jim_thompson5910
    • 3 years ago
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    no worries I'll be back in a few min and I'll help you with those 3

  110. sabrinahaley97
    • 3 years ago
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    Okay :D

  111. jim_thompson5910
    • 3 years ago
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    ok back

  112. sabrinahaley97
    • 3 years ago
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    Choose the correct simplification of the expression (d3)^5. d^8 d^15 d^243 d

  113. sabrinahaley97
    • 3 years ago
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    d^15 right ?

  114. jim_thompson5910
    • 3 years ago
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    correct, assuming you mean (d^3)^5

  115. sabrinahaley97
    • 3 years ago
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    yes sorry i forgot the ^ x]

  116. jim_thompson5910
    • 3 years ago
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    no worries

  117. sabrinahaley97
    • 3 years ago
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    okay these last 3 .

  118. sabrinahaley97
    • 3 years ago
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    heres 2 of the 3

    1 Attachment
  119. jim_thompson5910
    • 3 years ago
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    and you got what for each

  120. sabrinahaley97
    • 3 years ago
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    How do i simplify them ?

  121. sabrinahaley97
    • 3 years ago
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    just add the exponents?

  122. jim_thompson5910
    • 3 years ago
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    (3d)^3 turns into 27d^3

  123. jim_thompson5910
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    so (3d)^3 * d becomes 27d^3 * d

  124. jim_thompson5910
    • 3 years ago
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    and that becomes what?

  125. sabrinahaley97
    • 3 years ago
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    um. 27d^4 ?

  126. jim_thompson5910
    • 3 years ago
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    good

  127. sabrinahaley97
    • 3 years ago
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    alright i struggled a little bit

  128. jim_thompson5910
    • 3 years ago
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    now simplify the other expression

  129. jim_thompson5910
    • 3 years ago
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    that's ok, just keep practicing it and it'll come more easily to you

  130. sabrinahaley97
    • 3 years ago
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    the second one the exponents are just gonna get added to each other right ?

  131. jim_thompson5910
    • 3 years ago
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    no, when you square something that has an exponent, you are multiplying the exponents

  132. jim_thompson5910
    • 3 years ago
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    ex: (3x^5)^2 ---> 9x^(5*2) = 9x^(10)

  133. sabrinahaley97
    • 3 years ago
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    3d^4

  134. jim_thompson5910
    • 3 years ago
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    so the exponents are different? or equal?

  135. sabrinahaley97
    • 3 years ago
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    equal

  136. jim_thompson5910
    • 3 years ago
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    so that means you go with C for the first one

  137. jim_thompson5910
    • 3 years ago
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    exponents are the same

  138. sabrinahaley97
    • 3 years ago
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    alright number 8 looks like mumbo jumbo...

  139. jim_thompson5910
    • 3 years ago
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    same thing applies to #8, it's just a bit more complicated maybe

  140. jim_thompson5910
    • 3 years ago
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    they want you to simplify as much as possible, then compare exponents for expressions 1 and 2

  141. jim_thompson5910
    • 3 years ago
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    (2y^2)^3 = 8y^(2*3) = 8y^6

  142. sabrinahaley97
    • 3 years ago
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    alright .

  143. jim_thompson5910
    • 3 years ago
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    (y^9)*(2y^2)^3 turns into y^9 * 8y^6

  144. sabrinahaley97
    • 3 years ago
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    what about that y^9

  145. jim_thompson5910
    • 3 years ago
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    just added it back in so to speak

  146. jim_thompson5910
    • 3 years ago
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    I focused on simplifying (2y^2)^3 first

  147. jim_thompson5910
    • 3 years ago
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    then re-introduced the y^9 back in

  148. sabrinahaley97
    • 3 years ago
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    okay so the first one you just add the like terms now right?

  149. jim_thompson5910
    • 3 years ago
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    yep you add the exponents

  150. sabrinahaley97
    • 3 years ago
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    y^9 * 8y^6 = 9y^15

  151. jim_thompson5910
    • 3 years ago
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    the exponent is correct, but that 8 should stay the same

  152. jim_thompson5910
    • 3 years ago
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    so it's 8y^15

  153. jim_thompson5910
    • 3 years ago
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    silly typo though

  154. sabrinahaley97
    • 3 years ago
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    alright so 8y^15 for the first one ,

  155. jim_thompson5910
    • 3 years ago
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    now simplify the second one using the same steps

  156. jim_thompson5910
    • 3 years ago
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    (2y^3)^2 = ???

  157. sabrinahaley97
    • 3 years ago
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    4y^6

  158. jim_thompson5910
    • 3 years ago
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    good

  159. jim_thompson5910
    • 3 years ago
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    (9y)(2y^3)^2 becomes 9y*4y^6

  160. sabrinahaley97
    • 3 years ago
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    13y^6

  161. jim_thompson5910
    • 3 years ago
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    you multiply the coefficients out front

  162. jim_thompson5910
    • 3 years ago
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    9*4 = 36

  163. jim_thompson5910
    • 3 years ago
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    and you add the exponents 1+6 = 7

  164. sabrinahaley97
    • 3 years ago
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    so 36y^7 ?

  165. jim_thompson5910
    • 3 years ago
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    yep

  166. sabrinahaley97
    • 3 years ago
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    that one was hard lol

  167. jim_thompson5910
    • 3 years ago
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    now compare 8y^15 to 36y^7

  168. jim_thompson5910
    • 3 years ago
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    its ok, it'll get easier over time

  169. sabrinahaley97
    • 3 years ago
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    the first ones exponents are greater than

  170. jim_thompson5910
    • 3 years ago
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    yep

  171. sabrinahaley97
    • 3 years ago
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    Alright this is my last one .

  172. jim_thompson5910
    • 3 years ago
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    so A

  173. sabrinahaley97
    • 3 years ago
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    thank god

  174. jim_thompson5910
    • 3 years ago
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    lol

  175. sabrinahaley97
    • 3 years ago
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    Part 1: Explain, using complete sentences, how to simplify the expression below. Part 2: What is the simplified expression? (3x^3y^4)(2x^2y^6)

  176. jim_thompson5910
    • 3 years ago
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    the coefficients are 3 and 2 what do you do with these?

  177. sabrinahaley97
    • 3 years ago
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    multiply them

  178. jim_thompson5910
    • 3 years ago
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    good

  179. jim_thompson5910
    • 3 years ago
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    3 * 2 = 6 is your final coefficient

  180. jim_thompson5910
    • 3 years ago
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    now for each variable, you add the corresponding exponents

  181. sabrinahaley97
    • 3 years ago
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    so 6x^5 ?

  182. jim_thompson5910
    • 3 years ago
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    so for the x terms, you add the exponents 3 and 2 to get 3+2 = 5 5 is the final exponent for x

  183. jim_thompson5910
    • 3 years ago
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    so far so good, now do y

  184. sabrinahaley97
    • 3 years ago
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    well y doesnt have any numbers but every variable is equal to 1 , so would it be 2y^10?

  185. jim_thompson5910
    • 3 years ago
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    don't worry about the coefficient, that's been taken care of already

  186. jim_thompson5910
    • 3 years ago
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    just focus on the exponents for y

  187. sabrinahaley97
    • 3 years ago
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    so y^10 ?

  188. jim_thompson5910
    • 3 years ago
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    they are 4 and 6, they add to 4+6 = 10

  189. jim_thompson5910
    • 3 years ago
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    yep

  190. jim_thompson5910
    • 3 years ago
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    so all together, we get 6x^5y^10

  191. sabrinahaley97
    • 3 years ago
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    alright . so thats the simplied answer?

  192. jim_thompson5910
    • 3 years ago
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    it is

  193. sabrinahaley97
    • 3 years ago
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    that was easier lol

  194. jim_thompson5910
    • 3 years ago
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    lol depends on how you look at it i guess

  195. sabrinahaley97
    • 3 years ago
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    Thank you so much for all your time helping me tonight .

  196. jim_thompson5910
    • 3 years ago
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    you're welcome

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