Q26. - Algebra 1

Question

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

$\left(5+n\right)\mathbf{3}$

Step-by-Step Solution

Answer

The value of the expression $\left(5+n\right)3$ is $\mathbf{15}\mathbf{+}\mathbf{3}\mathit{n}$.

Step 1. Use the distributive property.

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

So, the values of $a,b, \mathrm{and} c$ should be as follows:

$\begin{array}{l}a=5\\ b=n\\ c=3\end{array}$

Step 2. Rewrite the expression.

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

$\left(5+n\right)3=\left(5\right)3+\left(n\right)3$

Step 3. Evaluate the expression.

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

$\begin{array}{l}\left(5+n\right)3=\left(5\right)3+\left(n\right)3 \left[\mathrm{Multiply}\right]\\ \text{=15+3n}\end{array}$