Answer
$9b^4 - 49$
Work Step by Step
Two ways to solve, using the Distributive Property and FOIL:
Distributive Property:
1) Distribute the second factor ($3b^2 - 7$) to both the "$3b^2$" term and the "-7" term. Make sure you keep track of addition and subtraction signs.
$ 3b(3b^2 - 7) + 7(3b^2 - 7)$
2) Distribute the 3b to both terms inside the parentheses and the 7 to both terms inside the parentheses.
$9b^3 - 21b^2 + 21b^2 - 49$
3) Combining like terms and order from highest degree to lowest degree (the $b^2$ terms will cancel out: $-21b^2 + 21b^2 = 0b^2$)
$9b^3 - 49$
FOIL:
$(2h+3)(4-h)$
First + Outer + Inner + Last
= $9b^4 - 21b^2 + 21b^2 - 49$
= $9b^4 - 49 $ Combine like terms and order from highest degree to lowest degree (the $b^2$ terms will cancel out: $-21b^2 + 21b^2 = 0b^2$)
