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chadandtricia_2009

What is the factored form of the expression? k2 – 9h2 A. (k + 3h)(k + 3h) B. h2(k + 3)(k – 3) C. (k + 3h)(k – 3h) D. (k – 3h2)(k + 3)

  • one year ago
  • one year ago

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  1. doubledrive
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    A

    • one year ago
  2. chadandtricia_2009
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    can you show me how you got that please?

    • one year ago
  3. zeesbrat3
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    A

    • one year ago
  4. doubledrive
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    Nevermind, C

    • one year ago
  5. chadandtricia_2009
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    i don't understand how to do it

    • one year ago
  6. doubledrive
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    K*K=K2 +3*-3=-9 H*H=H2

    • one year ago
  7. Calcmathlete
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    It is C. You have to first recognize the fact that this is a difference in squares pattern. \[a^{2} - b^{2} = (a + b)(a - b)\]

    • one year ago
  8. doubledrive
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    Which becomes k2-9h2

    • one year ago
  9. Calcmathlete
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    If you want to factor it without the pattern, then find factors of -9 that add up to 0. These factors are -3 and 3. THerefore, (k + 3h)(k – 3h)

    • one year ago
  10. zeesbrat3
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    In this problem you are dealing with perfect squares, so it was easier just to square root them. However, that only works if all of them are actually perfect squares. If you don't know what a perfect square is, it is a number multiplied by itself.

    • one year ago
  11. chadandtricia_2009
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    so what do I plug into the pattern?

    • one year ago
  12. Calcmathlete
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    a = k b = 3h See how k is squared and 3h is squared as well? k^2 = k^2 3^2h^2 = 9h^2

    • one year ago
  13. zeesbrat3
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    \[K timesK =K ^{2} 3h\times3h=9h /sqrt{9}=3\]

    • one year ago
  14. zeesbrat3
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    sorry, it didnt space out like I planned..

    • one year ago
  15. chadandtricia_2009
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    ok got it now.

    • one year ago
  16. chadandtricia_2009
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    thanks alot all of you

    • one year ago
  17. myininaya
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    @zeesbrat3 and @doubledrive In the future, please don't just give the answer (sometimes people just want to cheat and that is not what OpenStudy is about.) Please guide the user so that the person can come to the answer themselves. Also @chadandtricia_2009 thanks for asking for an explanation. :)

    • one year ago
  18. myininaya
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    And that message goes to anyone I miss that didn't know the new CoC. thanks.

    • one year ago
  19. doubledrive
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    @myininaya for your information, i answered the question and i explained it.

    • one year ago
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