How do you factor (x-3)(x+2)^2 - (x-3)^2(x+2)?

1 Answer
Alan P.
Sep 25, 2015

-(x-3)(x+2)

Explanation:

color(red)((x-3))color(blue)((x+2))^2 - color(red)((x-3))^2color(blue)((x+2))

color(white)("XXX"=)[color(red)((x-3))color(blue)((x+2))] * (x+2) - [color(red)((x-3))color(blue)((x+2))] * (x-3)

color(white)("XXX")=[color(red)((x-3))color(blue)((x+2))]*[(x+2)-(x+3)]

color(white)("XXX")=[color(red)((x-3))color(blue)((x+2))] * (-1)

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