Answer
$-2h^{2}+5h+12$
Work Step by Step
Two ways to solve, using the Distributive Property and FOIL:
Distributive Property:
1) Distribute the second factor ($4-h$) to both the "$2h$" term and the "3" term. Make sure you keep track of addition and subtraction signs.
$ 2h(4-h) + 3(4-h) $
2) Distribute the $2h$ to both terms inside the parentheses and the 3 to both terms inside the parentheses.
$8h - 2h^{2} + 12 - 3h$
3) Combine like terms and order from highest degree to lowest degree.
$ - 2h^{2} + 5h + 12$
FOIL:
$(2h+3)(4-h)$
First + Outer + Inner + Last
= $8h - 2h^{2} + 12 - 3h$
= $-2h^{2} +5h + 12 $ Combine like terms and order from highest degree to lowest degree.
