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Math Help - Factorisation

  1. #1
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    Factorisation

    3x(x-2y)2-(x-2y)3 =
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  2. #2
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    Factorising

    Hello lmyeo
    Quote Originally Posted by lmyeo View Post
    3x(x-2y)2-(x-2y)3 =
    I'm guessing that your question means

    3x(x-2y)^2-(x-2y)^3

    In which case, your two main terms share a common factor of (x-2y)^2. So take it out, like this:

    3x(x-2y)^2-(x-2y)^3=(x-2y)^2(3x - (x-2y)) Can you see what I've done?

    = (x-2y)^2(3x - x+2y)

    =(x-2y)^2(2x + 2y)

    =2(x-2y)^2(x + y)

    Grandad
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