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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- Sep 13th 2007, 12:05 PMJeavussquare 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) - Sep 13th 2007, 12:13 PMPlato
I wou have done

$\displaystyle \begin{array}{l}

x^2 - \left( {y^2 - 6y + 9} \right) \\

x^2 - \left( {y - 3} \right)^2 \\

\left( {x - y + 3} \right)\left( {x + y - 3} \right) \\

\end{array}

$ - Sep 13th 2007, 12:41 PMJeavus
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. - Sep 13th 2007, 12:45 PMPlato
$\displaystyle \left[ {\left( {x - 1} \right) - 1} \right]\left[ {\left( {x - 1} \right) + 1} \right]$ ??