Question

Use distributive property and then combine like terms to write an equivalent expression for:

4(y2 + 2) + 6x - 2y3 + 12x

Answer 1

−2y3+4y2+18x+8

Explanation:

Let's simplify step-by-step.

4(y2+2)+6x−2y3+12x

Distribute:

=(4)(y2)+(4)(2)+6x+−2y3+12x

=4y2+8+6x+−2y3+12x

Combine Like Terms:

=4y2+8+6x+−2y3+12x

=(−2y3)+(4y2)+(6x+12x)+(8)

=−2y3+4y2+18x+8