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How do you factor $- 36 x^{2} + 36 y^{2}$ $-36x^2 + 36y^2$ ?

1 Answer

May 18, 2016

$- 36 x^{2} + 36 y^{2} = (- 36) (x - y) (x + y)$ $-36x^2+36y^2= color(green)((-36)(x-y)(x+y))$

Explanation:

$- 36 x^{2} + 36 y^{2}$ $-36x^2+36y^2$
$XXX = (- 36) (x^{2} - y^{2})$ $color(white)("XXX")=(-36)(x^2-y^2)$

$XXX = (- 36) (x - y) (x + y)$ $color(white)("XXX")=(-36)(x-y)(x+y)$

$(- 36)$ $(-36)$ could be further factored as $(- 1) (6^{2})$ $(-1)(6^2)$ or $(- 1) (2^{2} \cdot 3^{2})$ $(-1)(2^2*3^2)$ but I'm not sure there is any point in doing this.

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