Fully expand and simplify
(4y+8)(5y+7)
First, we expand using the distributive property:
4y * 5y = 20y^2
4y * 7 = 28y
8 * 5y = 40y
8 * 7 = 56
Now, combine like terms:
20y^2 + 28y + 40y + 56
Simplify further by combining like terms:
20y^2 + 68y + 56
Therefore, the fully expanded and simplified expression is 20y^2 + 68y + 56.