fully expand and simplfy

Question

(2y+2)(4y^2+10y+4

Answer 1

First, distribute the first term in the first parenthesis to each term in the second parenthesis:
2y * 4y^2 = 8y^3
2y * 10y = 20y^2
2y * 4 = 8y

Then, distribute the second term in the first parenthesis to each term in the second parenthesis:
2 * 4y^2 = 8y^2
2 * 10y = 20y
2 * 4 = 8

Now, combine the like terms to simplify the expression:
8y^3 + 20y^2 + 8y + 8y^2 + 20y + 8 = 8y^3 + 28y^2 + 28y + 8

Therefore, the fully expanded and simplified expression is:
8y^3 + 28y^2 + 28y + 8