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Math Help - square difference

  1. #1
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    square difference

    Factor this Equation:

    x^2 + 6y - y^2 - 9

    I figure, re-arrange.

    x^2 - y^2 + 6y - 9

    Group.

    (x^2 - y^2) + (6y - 9)

    Factor.

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

    Re-arrange.

    3(2y-3) + (x-y)(x+y)
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  2. #2
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    I wou have done
    \begin{array}{l}<br />
 x^2  - \left( {y^2  - 6y + 9} \right) \\ <br />
 x^2  - \left( {y - 3} \right)^2  \\ <br />
 \left( {x - y + 3} \right)\left( {x + y - 3} \right) \\ <br />
 \end{array}<br />
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  3. #3
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    What about this one?

    (x-1)^2 - 1

    I know it's a^2 - b^2, but I can't lay it out.

    Help please?

    EDIT: Nevermind, got it.
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  4. #4
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    \left[ {\left( {x - 1} \right) - 1} \right]\left[ {\left( {x - 1} \right) + 1} \right] ??
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