# How do you simplify 3(6m+3)+8(m+6)+9(4m+5)?

##### 2 Answers
Apr 8, 2018

$62 m + 102$

#### Explanation:

$3 \left(6 m + 3\right) + 8 \left(m + 6\right) + 9 \left(4 m + 5\right)$

First, distribute the numbers outside the braces to the numbers inside:

$18 m + 9 + 8 m + 48 + 36 m + 45$ (Combine like terms)

$62 m + 102$

Apr 8, 2018

Using the Distributive Property: $\textcolor{red}{a \left(b + c\right) = a b + a c}$

color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102

#### Explanation:

$\text{ }$
Given:

color(blue)(3(6m+3)+8(m+6)+9(4m+5)

Distributive Property removes the brackets (parentheses) used by bringing a multiplication from outside to inside the parentheses.

$\Rightarrow \left(18 m + 9\right) + \left(8 m + 48\right) + \left(36 m + 45\right)$

Combine the like terms to simplify:

$\Rightarrow \left(18 m + 8 m + 36 m\right) + \left(9 + 48 + 45\right)$

$\Rightarrow 62 m + 102$

Hence,

color(blue)(3(6m+3)+8(m+6)+9(4m+5)=62m+102

Hope it helps.