multiply (-x-2)by

(-x2 + 4x – 2)

2 answers

(-x-2)(-x^2+4x-2)
-(x+2)(-x^2+4x-2)
(x+2)(x^2-4x+2)
x^5-4x^2+2x
2x^2-8x+4
x^5-2x^2-6x-4
x(cube)-2x-6x+4
Correct, except the answer should read:

x(cube)-2x^2-6x+4

In fact, another way to do this is to use the distributive property:
(-x-2)(-x^2+4x-2)
=-x(-x^2+4x-2) -2(-x^2+4x-2)
=x^3-4x^2+2x +2x^2-8x+4
=x^3-2x^2-6x+4