Question

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

(3 + 8)15

Short answer

The value of the expression $\left(3+8\right)15$ is $\mathbf{165}$.

Step-by-step solution

Step 1. Use the distributive property.

The distributive law of multiplication over addition or subtraction states that, $\left(a\pm b\right)c=ac\pm bc$.

So, the values of the real number should be as follows:

$\begin{array}{l}a=3\\ b=8\\ c=15\end{array}$

Step 2. Rewrite the expression.

Use the distributive property to expand the expression further as shown below:

$\left(3+8\right)15\text{=}\left(\text{3}\right)\text{15+}\left(\text{8}\right)\text{15}$

Step 3. Evaluate the expression.

To simplify further, multiply the numbers and solve further as shown below:

$\begin{array}{l}\left(3+8\right)15\text{=}\left(\text{3}\right)\text{15+}\left(\text{8}\right)\text{15}\left[Multiply\right]\\ =45+120\left[Add\right]\\ =165\end{array}$