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Math Help - Factorization help

  1. #1
    Junior Member 22upon7's Avatar
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    Factorization help

    Hi everybody,

    I can't seem to work out how to factorize this particualar sum. Could someone please explain how you go through it?

    The sum is:

    10(2x+y)^2+11(2x+y)-6

    My book gives this as the answer, although I don't know how to get there:

    (10x+5y-2)(4x+2y+3)

    Any help would be much appreciated,

    Thanks!

    Drew
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Detroit, MI
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    Quote Originally Posted by 22upon7 View Post
    Hi everybody,

    I can't seem to work out how to factorize this particualar sum. Could someone please explain how you go through it?

    The sum is:

    10(2x+y)^2+11(2x+y)-6

    My book gives this as the answer, although I don't know how to get there:

    (10x+5y-2)(4x+2y+3)

    Any help would be much appreciated,

    Thanks!

    Drew
    Let u=2x+y. Can you factor 10u^2+11u-6?
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  3. #3
    Junior Member 22upon7's Avatar
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    Quote Originally Posted by VonNemo19 View Post
    Let u=2x+y. Can you factor 10u^2+11u-6?
    Yes I can, that makes it much easier, thanks a lot!
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  4. #4
    No one in Particular VonNemo19's Avatar
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    Detroit, MI
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    Quote Originally Posted by 22upon7 View Post
    Yes I can, that makes it much easier, thanks a lot!
    Don't forget to back substitute.
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