fully expand and simplfy

Question

(2y+7)(4y^5+8y−2)

Answer 1

First, distribute the terms in the first set of parentheses to the terms in the second set of parentheses:

(2y)(4y^5) + (2y)(8y) + (2y)(-2) + (7)(4y^5) + (7)(8y) + (7)(-2)

Now simplify each term:

8y^6 + 16y^2 - 4y + 28y^5 + 56y - 14

Combine like terms to simplify:

8y^6 + 28y^5 + 16y^2 + 56y - 4y - 14

Simplified version: 8y^6 + 28y^5 + 16y^2 + 52y - 14