Question

Rewrite each expression using the distributive property. Then simplify.

$4\left(x+3\right)$

Short answer

The simplified expression is$4x+12$

Step-by-step solution

Step 1. Distributive property.

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

Step 2. Application of distributive property.

$4\left(x+3\right)=4\cdot x+4\cdot 3\left[\text{ByDistributiveproperty}\right]$

Step 3. Simplifying the expression.

$4\cdot x+4\cdot 3=4x+12$