Fully expand and simplify

Question

(−4y+2)(2y^5+4y+4)

Answer 1

Expanding:

(-4y + 2)(2y^5 + 4y + 4)
= -4y(2y^5) + 2(2y^5) - 4y(4y) + 2(4y) - 4y(4) + 2(4)
= -8y^6 + 4y^5 - 16y^2 + 8y - 16y + 8

Simplifying:

-8y^6 + 4y^5 - 16y^2 - 8y + 8