Simplify: 7y^2 -2y+7-(-2y^2+1/2y-3)(2y)

Answer 1

To simplify this expression, we first need to distribute the 2y to all terms inside the parentheses:

7y^2 - 2y + 7 - (-2y^2 + 1/2y - 3)(2y)
= 7y^2 - 2y + 7 + 4y^3 - y + 6

Next, we combine like terms:

7y^2 + 4y^3 - 2y - y + 7 + 6
= 4y^3 + 7y^2 - 3y + 13

Therefore, the simplified expression is 4y^3 + 7y^2 - 3y + 13.