How do you simplify # (x – 4)(x^2 + 3x + 2)#?

1 Answer
Alan P.
Sep 10, 2015

#(x-4)(x^2+3x+2) = x^3-x^2-10x-8#

Explanation:

#(color(red)(x)-color(blue)(4))(x^2+3x+2)#

#color(white)("XXX")= color(red)(x)(x^2+3x+2) - color(blue)(4)(x^2+3x+2)#

#color(white)("XXX")=(color(red)(x^3+3x^2+2x))-(color(blue)(4x^2+14x+8))#

#color(white)("XXX")=(color(red)(x^3)) +(color(red)3x^2-color(blue)(4x^2))+(color(red)(2x)-color(blue)(12x))+(color(blue)(-8))#

#color(white)("XXX")= x^3-x^2-10x-8#

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