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anonymous

  • 5 years ago

how do you factor 27x^3 - 48x when they have no common numbers?

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  1. Oaktree
    • 5 years ago
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    Yes they do...they both share 3x.

  2. anonymous
    • 5 years ago
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    so 3x would go on the outside of the parenthesis? like this: 3x(x )(x ) right?

  3. Oaktree
    • 5 years ago
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    Sort of... it would be 3x(9x^2-16).

  4. Oaktree
    • 5 years ago
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    Then use difference of two squares to factor the 9x^2-16 into (3x+4)(3x-4)

  5. Oaktree
    • 5 years ago
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    So your final answer is 3x(3x+4)(3x-4)

  6. anonymous
    • 5 years ago
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    thank u so much!

  7. Oaktree
    • 5 years ago
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    You're welcome. But do you know the difference of two squares?

  8. anonymous
    • 5 years ago
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    isn't when u draw a box and factor that way?

  9. Oaktree
    • 5 years ago
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    NO! What you do is square root the first and last terms (only works when you can do this evenly and when the terms are being subtracted)

  10. Oaktree
    • 5 years ago
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    Your two factors are those two square roots, except one is plus and one is minus.

  11. anonymous
    • 5 years ago
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    oohhh yeaaa i remember that...i didn't know it was called difference of 2 squares

  12. Oaktree
    • 5 years ago
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    Like (x+4)(x-4)

  13. Oaktree
    • 5 years ago
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    Oh. That's because it's a difference (subtraction) of two square numbers.

  14. anonymous
    • 5 years ago
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    ohh ok ... thanks for explainin that

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