# How do you multiply (2p^2-7p+8)(2p^2-5p-3)?

Aug 11, 2018

$\textcolor{g r e e n}{4 {p}^{2} - 24 {p}^{3} + 45 {p}^{2} - 19 p - 24}$

#### Explanation:

$\left(2 {p}^{2} - 7 p + 8\right) \left(2 {p}^{2} - 5 p - 3\right)$

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$2 {p}^{2} - 7 p + 8$
$\textcolor{w h i t e}{a a a a a a a a a a a}$$\times \underline{2 {p}^{2} - 5 p - 3}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$4 {p}^{4} - 14 {p}^{3} + 16 {p}^{2}$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a}$$- 10 {p}^{3} + 35 {p}^{2} - 40 p$
$\textcolor{w h i t e}{a a a a a a a a a a a a a a a a a a a a a a a a}$$- 6 {p}^{2} + 21 p - 24$
$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\overline{4 {p}^{2} - 24 {p}^{3} + 45 {p}^{2} - 19 p - 24}$

$\textcolor{w h i t e}{a a a a a a a a a a a a a}$$\textcolor{g r e e n}{4 {p}^{2} - 24 {p}^{3} + 45 {p}^{2} - 19 p - 24}$