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anonymous

  • one year ago

(x+6)^2 Is this right? (x+6)^2 =36x

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  1. LynFran
    • one year ago
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    im guessing you have to expand this...??

  2. anonymous
    • one year ago
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    Not really sure if i do or not all they gave me was (x+6)^2?

  3. SolomonZelman
    • one year ago
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    Have you ever done problems that asked you "to expand" an expression?

  4. anonymous
    • one year ago
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    Nope.

  5. SolomonZelman
    • one year ago
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    Lets start from this. \(\large\color{black}{\rm \displaystyle expression\text{#}1(expression\text{#}2) }\) is same thing as \(\large \color{black}{\rm expression\text{#}1~\cdot~expression\text{#}2}\) you know that right?

  6. anonymous
    • one year ago
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    ? What is expression 1 and 2 suppose to mean?

  7. SolomonZelman
    • one year ago
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    any expreesions, i am just naming them like this.

  8. SolomonZelman
    • one year ago
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    this is equivalent to saying a(b) is same as saying a•b

  9. anonymous
    • one year ago
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    Okay.

  10. SolomonZelman
    • one year ago
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    good.

  11. SolomonZelman
    • one year ago
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    So, if I say a(b), then I know that it is a•b and it would be the same thing as a•b.

  12. SolomonZelman
    • one year ago
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    (Just trying to get general way of writing things straight)

  13. SolomonZelman
    • one year ago
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    a(b) = a•b = ab

  14. SolomonZelman
    • one year ago
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    all 3 parts are same...

  15. anonymous
    • one year ago
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    Alright

  16. SolomonZelman
    • one year ago
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    now, if I said: a(b+c), then what am I really doing? a(b+c) = a•(b+c) = a•b+a•c=ab+ac

  17. SolomonZelman
    • one year ago
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    I am multiplying everything inside the parenthesis times a.

  18. SolomonZelman
    • one year ago
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    is this making some sense?

  19. anonymous
    • one year ago
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    Yeah, just not sure what this has to do with the problem i asked.

  20. anonymous
    • one year ago
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    @SolomonZelman

  21. anonymous
    • one year ago
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    Anyone?

  22. jdoe0001
    • one year ago
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    \(\large (x+6)^2 \implies (x+6)(x+6)\implies \begin{cases} x\cdot x\implies &?\\ x\cdot 6\implies &?\\ 6\cdot x\implies &?\\ 6\cdot 6\implies &? \end{cases}\)

  23. anonymous
    • one year ago
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    Okay think i got it. x*x = X^2, x*6 = x^6, 6*x= 6x and 6*6 = 36

  24. jim_thompson5910
    • one year ago
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    (x+6)^2 is the same as (x+6)*(x+6) squaring something means you're multiplying it by itself To expand out (x+6)*(x+6) you can use the FOIL rule but I like a table better because you can use a table for things that FOIL can't do |dw:1437695027927:dw|

  25. jim_thompson5910
    • one year ago
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    To fill out the table, you multiply the headers example: x times x = x^2 |dw:1437695125576:dw|

  26. anonymous
    • one year ago
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    yeah.

  27. jim_thompson5910
    • one year ago
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    you said `x*x = X^2, x*6 = x^6, 6*x= 6x and 6*6 = 36` so this is reflected in the table |dw:1437695217158:dw|

  28. jim_thompson5910
    • one year ago
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    The last thing to do is add up x^2, 6x, 6x, and 36 (all the terms found in the table). Combining like terms if any.

  29. jim_thompson5910
    • one year ago
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    oh just noticed you wrote `x*6 = x^6` it should be x*6 = 6x

  30. anonymous
    • one year ago
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    Okay.

  31. anonymous
    • one year ago
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    Sooo?

  32. jim_thompson5910
    • one year ago
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    what do you get when you add up x^2, 6x, 6x, and 36

  33. anonymous
    • one year ago
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    48x^2

  34. jim_thompson5910
    • one year ago
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    you can't combine 6x with 36 to get 42x

  35. jim_thompson5910
    • one year ago
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    6x and 36 aren't like terms

  36. anonymous
    • one year ago
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    12x^2

  37. jim_thompson5910
    • one year ago
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    6x + 6x = ???

  38. anonymous
    • one year ago
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    Were adding right? 12x^2

  39. jim_thompson5910
    • one year ago
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    6 apples + 6 apples = ______ apples

  40. jim_thompson5910
    • one year ago
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    the x doesn't become x^2 when you add 6x+6x

  41. anonymous
    • one year ago
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    Oh, 6x+6x =12x

  42. jim_thompson5910
    • one year ago
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    so we get x^2+12x+36

  43. jim_thompson5910
    • one year ago
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    that's as far as we can go because there are no other like terms left to combine

  44. anonymous
    • one year ago
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    Alright. Thanks @jim_thompson5910

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