Q44. - Algebra 1

Question

Rewrite each expression using the distributive property. Then simplify.

$\left(m+8\right)4$

Step-by-Step Solution

Answer

The simplified expression is $4m+32$.

Step 1. Distributive property.

If $a,b$ and $c$ are three real numbers then  $a·\left(b+c\right)=a·b+a·c$ and $\left(b+c\right)·a=b·a+c·a$

Step 2. Application of distribution property.

Apply the distributive property to get

$\left(m+8\right)4=m·4+8·4 \left[\mathrm{By} \mathrm{Distribution} \mathrm{property}\right]$

Step 3. Simplifying the expression.

Simplify further by multiplying the numbers to get

$m·4+8·4=4m+32$