Q37. - Algebra 1

Question

Use the Distributive Property to rewrite each expression. Then evaluate.

$\left(2+3\right)6$

Step-by-Step Solution

Answer

The value of given expression is $30$.

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.

$\left(2+3\right)6=2·6+3·6 \left[\mathrm{By} \mathrm{distritution} \mathrm{property}\right]$

Step 3. Simplifying the expression.

$$\begin{gathered} 2·6+3·6=12+18 \left[\mathrm{Performing} \mathrm{multiplication}\right] \\ =30 \left[\mathrm{Performing} \mathrm{addition}\right] \end{gathered}$$