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

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

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Answer 1 · 2018-03-20T15:40:42

You can see that there is an $x + y$ $x + y$ factor that we can remove.

$(x + y) (2 x^{2} - y (x + y))$ $(x + y)(2x^2 - y(x + y))$

$(x + y) (2 x^{2} - x y - y^{2})$ $(x + y)(2x^2 - xy- y^2)$

$(x + y) (2 x^{2} - 2 x y + x y - y^{2})$ $(x + y)(2x^2 - 2xy + xy - y^2)$

$(x + y) (2 x (x - y) + y (x - y))$ $(x+ y)(2x(x - y) + y(x -y))$

$(x + y) (2 x + y) (x - y)$ $(x +y)(2x + y)(x - y)$

Hopefully this helps!

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

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