# How do you multiply (8m^2+8m+3)(2m^2+8m+4)?

Jun 25, 2017

$16 {m}^{4} + 80 {m}^{3} + 102 {m}^{2} + 56 m + 12$

#### Explanation:

Multiply everything in the right brackets by every thing in the left.

$8 {m}^{2} \left(2 {m}^{2} + 8 m + 4\right) \to 16 {m}^{4} + 64 {m}^{3} + 32 {m}^{2}$
$\textcolor{w h i t e}{.} 8 m \left(2 {m}^{2} + 8 m + 4\right) \to \text{ } 16 {m}^{3} + 64 {m}^{2} + 32 m$
color(white)(8..)3(2m^2+8m+4)->ul(" "6m^2+24m+12
$\text{ } 16 {m}^{4} + 80 {m}^{3} + 102 {m}^{2} + 56 m + 12$