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Math Help - Guidelines wanted (dead or alive)

  1. #1
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    Guidelines wanted (dead or alive)

    This is the problem: 16x^3y^2-4xy^2

    ...and what I tried to do:

    16x^3y^2-4xy^2

    4xy^2\left(4x^2-1\right)

    4xy^2\left(4x^2-1^2\right)

    4xy^2\left(4x-1\right)\left(4x+1\right)

    But then when trying to solve it in order to check the answer, comes to something different.
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  2. #2
    Moo
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    Hello,

    You thought correctly with the difference of two squares.

    The only problem is this :

    4x^2-1=({\color{red}2x})^2-1^2=(2x-1)(2x+1)

    just a very little careless mistake, but your working is good
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