# How do you multiply 7m^3(3mn+6)?

Apr 4, 2018

$21 {m}^{4} n + 42 {m}^{3}$

This is how I multiplied it:

#### Explanation:

$7 {m}^{3} \left(3 m n + 6\right)$

You solve this by distributing. That means that you "distribute" or multiply the $7 {m}^{3}$ to everything inside the parenthesis, like this:
$7 {m}^{3} \cdot 3 m n = 21 {m}^{4} n$

$7 {m}^{3} \cdot 6 = 42 {m}^{3}$

$21 {m}^{4} n + 42 {m}^{3}$