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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