How do you simplify #-3x^3(x-2)^2(x+7)#?

1 Answer
Aug 29, 2015

Answer:

#- 3x^6 - 15x^5 + 30x^4 -84x^3#

Explanation:

#-3x^3(x - 2)^2 (x + 7)#

Expand the term #(x - 2)^2#
#-3x^3(x^2 -2x + 4) (x + 7)#

Multiply #(x^2 -2x + 4) (x + 7)#
#- 3x^3(x^3 - 2x^2 +4x +7x^2- 14x +28)#

Simplify #(x^3 +5x^2- 10x + 28)#
#- 3x^3(x^3 +5x^2- 10x + 28)#

Multiply #(x^3 +5x^2- 10x + 28)# with #- 3x^3#
#- 3x^6 - 15x^5 + 30x^4 -84x^3#