How do you simplify #x(2x-4)-3x(x^2+4x-8)#?

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Answer 1 · 2018-07-09T23:52:34

#-3x^3-10x^2+20x#

Let's distribute the #x# and the #-3x# to their respective terms. We now have

#2x^2-4x-3x^3-12x^2+24x#

Let's now combine like terms. Pay close attention to the signs:

#-3x^3-10x^2+20x#

Hope this helps!

Answer 2 · 2018-07-10T00:00:43

#x(2x-4)-3x(x^2+4x-8)=color(blue)(-3x^3-10x^2+20x#

Simplify:

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

Expand.

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

Expand.

#2x^2-4x-3x^3-12x^2+24x#

Collect like terms.

#-3x^3+(2x^2-12x^2)+(-4x+24x)#

Combine like terms.

#-3x^3-10x^2+20x#