Simplify. (3x3 - 7x2 + 12) - (3x3 + 6x2 + 10x)

A) - x2 + 10x + 12

B) - 13x2 - 10x + 12

C) - 6x3 + x2 - 10x - 12

D) - 9x6 - 42x4 - 10x + 12

The answer is B.

Do you need the explanation?

(3x^3 - 7x^2 + 12) - (3x^3 + 6x^2 + 10x)

First, remove parentheses

3x^3 - 7x^2 + 12 - 3x^3 - 6x^2 - 10x

eliminate the opposites

then collect the like terms

13x^2 + 12 - 10x

and finally, use the commutative property to reorder the terms, and you'll get

-13x^2-10x+12