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Math Help - factor expression

  1. #1
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    factor expression

    (a2+2a)2-2(a2+2a)-3

    u=(a2+2a)

    (u)2-2u-3

    (u+1)(u-3)

    (a2+2a+1)(a2+2a-3)

    WORNG ANS (a+1)(a+1)(a-1)(a+3)
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  2. #2
    Member Goku's Avatar
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    Re: factor expression

    I can't see why this is wrong ((a+1)(a+1)(a-1)(a+3))... ...
    What is the correct ans?
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  3. #3
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    Re: factor expression

    Quote Originally Posted by zbest1966 View Post
    WORNG ANS (a+1)(a+1)(a-1)(a+3)
    I agree with Goku, this looks correct.

    The only other thing you could maybe do is combine the two factors of a+1:

    (a+1)(a+1)(a-1)(a+3)

    =(a+1)^2(a-1)(a+3)
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  4. #4
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    Re: factor expression

    correct (a+2)(a-2)(a+1)(a-1)
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  5. #5
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    Re: factor expression

    Quote Originally Posted by zbest1966 View Post
    correct (a+2)(a-2)(a+1)(a-1)
    No, that is incorrect. You can verify this by substituting values for a.

    Your original answer was the right one.
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  6. #6
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    Re: factor expression

    Quote Originally Posted by zbest1966 View Post
    (a2+2a)2-2(a2+2a)-3

    u=(a2+2a)

    (u)2-2u-3

    (u+1)(u-3)

    (a2+2a+1)(a2+2a-3)
    You're on the right track. Now all you need to do is factor those two expresions.

    (a2+2a+1) = (a+1)(a+1)
    (a2+2a-3) = (a+3)(a-1)
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