A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Divide and simplify completely.

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433180002271:dw|

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok!

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay! thank you so much!!:D

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @mathstudent55

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @paki

  6. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Start by factoring then changing that division to multiplication.

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can we do it on the drawing tool?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Luigi0210

  9. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Sure, like I said, start factoring, what do you get?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do i start with writing the whole problem? orjust the first two fractions?

  11. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Writing the whole problem would be better, it'll help see where things might cancel.

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay! sorry i took long! i had to login again1:) @Luigi0210

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433181469815:dw|

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Luigi0210

  15. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay, so start by changing the division to multiplication, do you know how?

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Luigi0210 i had to change laptobs, so there will be no more lagging!

  17. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Alright, so do you know how to change the operations from division to multiplication?

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im not so sure! @Luigi0210

  19. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Alright, so in order to switch it, you flip the fraction and then change the sign, like so: \(\large \frac{a}{b} \div \frac{c}{d}\) becomes \(\large \frac{a}{b} \times \frac{d}{c} \) make sense?

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  21. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Alright, try applying it to this part: \(\large \frac{6x+6}{x^2-1} \times \color{green}{\frac{x-1}{8x^2-24x} \div \frac{24}{x^2-9}} \)

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok |dw:1433183061134:dw|

  23. Luigi0210
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Right, now let's start factoring, what these factor to: \(\large x^2-1=\) \(\large 6x+6=\) \(\large 8x^2-24x=\) \(\large x^2-9=\)

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433183782053:dw|

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Luigi0210

  26. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    apply difference of square method a^2 - b^2 = (a+b)(a-b)

  27. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so x^2 - 9 = ?

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Nnesha

  29. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes ?

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im not sure what that equals to?

  31. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    difference of square take square root of first term and 2nd term write in two parentheses (sqr root of first term + square root of 2nd term ) ( sqr root of first term - square root of 2nd term) a^2 - b^2 = (a+b)(a-b)

  32. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  33. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so x^2 - 9 = ?

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433185790534:dw|

  35. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Nnesha

  36. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433185969475:dw| take square root of both terms

  37. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433186021089:dw|

  38. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what is square root of 9 ?

  39. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433186054040:dw|

  40. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes that's right

  41. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\huge\rm \frac{6x+6}{x^2-1} \times \color{green}{\frac{x-1}{8x^2-24x} \div \frac{24}{x^2-9}} \) alright first of change division to multiplication

  42. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    http://prntscr.com/7bz6e6 <---

  43. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433186323191:dw|

  44. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ys right

  45. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i have to go i'll be here after 15 mints

  46. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433186435230:dw|

  47. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Nnesha

  48. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Luigi0210

  49. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433186564993:dw|

  50. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433186742147:dw| now factor 6x-6 x^2 -1 8x^2 -24x

  51. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Nnesha how do i do that?

  52. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Michele_Laino @Nnesha

  53. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    same method for x^2-1 difference of square

  54. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do i do that? can you show me on the drawing tool????

  55. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it's same like last one square root of first number and square root of 2nd number

  56. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433188107357:dw| just like this one

  57. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    with what numbers?

  58. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x^2 - 1 first term is x^2 2nd term is 1

  59. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433188199277:dw|

  60. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433188239145:dw| take SQUARE ROOT of first and last term what is square root of x^2 ?

  61. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433188302499:dw|

  62. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    square root of 1 is just one

  63. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433188379947:dw|

  64. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right (x +1 ) (x-1)

  65. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  66. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\huge\rm \frac{6x+6}{(x+1)(x-1)} \times \color{green}{\frac{x-1}{8x^2-24x} \times \frac{24}{(x-3)(x+3)}} \) now factor 6x+6 what is commin in these both term ?

  67. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    they both have 6

  68. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right take it out

  69. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    6x+6 6( ) what should go in the parentheses ?

  70. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so you are left with x?

  71. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    nope divide both term by 6 so 6/6 = ?

  72. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    2

  73. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    6 divide by 6 = ?

  74. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is 1

  75. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right so it's 6(x+1)

  76. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\huge\rm \frac{6(x+1)}{(x+1)(x-1)} \times \color{green}{\frac{x-1}{8x^2-24x} \times \frac{24}{(x-3)(x+3)}} \) ahh last one factor 8x^2 -24x

  77. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what whould it be for 8x^2?

  78. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x^2 ? lowest degree of x would be common term and yes 8 is right and what else ?

  79. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  80. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what about for 24!

  81. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes so 8 is common what about variable ?

  82. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the variable is x!

  83. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes right so 8x is out what should goe in parentheses ??

  84. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    umm im not sure?

  85. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433189936138:dw| divide both term by 8x

  86. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so x and 3?

  87. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep right

  88. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yayy!!!

  89. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait

  90. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it's \(\huge\rm \frac{6(x+1)}{(x+1)(x-1)} \times \color{green}{\frac{x-1}{8x(x-3)} \times \frac{(x-3)(x+3)}{ 24}} \) start canceling stufffff

  91. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433190165667:dw|

  92. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\huge\rm \frac{6\cancel{(x+1)}}{\cancel{(x+1)}\cancel{(x-1)}} \times \color{green}{\frac{\cancel{x-1}}{8x\cancel{(x-3)}} \times \frac{\cancel{(x-3)}(x+3)}{ 24}} \) \[\frac{ 6(x+3) }{ 8x \times 24 }\] 6/24 ?

  93. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  94. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1433190834800:dw|

  95. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    nopw that's not a pllus sgn

  96. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1433190954018:dw|reduse the fraction

  97. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    reduce *

  98. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1/4

  99. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    for some reason it whould not post but, i got it!!

  100. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(\huge\rm \frac{6\cancel{(x+1)}}{\cancel{(x+1)}\cancel{(x-1)}} \times \color{green}{\frac{\cancel{x-1}}{8x\cancel{(x-3)}} \times \frac{\cancel{(x-3)}(x+3)}{ 24}} \) \[\frac{ 1(x+3) }{ 8x \times 4 }\] now multiply

  101. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    4 times 8x = ? done!

  102. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    32x ! @Nnesha

  103. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep right x+3/32x

  104. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so the answer is c? @Nnesha

  105. Nnesha
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    where are the answer choices ?

  106. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.