Question

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

$\left(4-3m\right)\mathbf{8}$

Short answer

The value of the expression $\left(4-3m\right)8$is $\mathbf{32}\mathbf{-}\mathbf{24}\mathit{m}$.

Step-by-step solution

Step 1. Use the distributive property.

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

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

$\begin{array}{l}a=4\\ b=3m\\ c=8\end{array}$

Step 2. Rewrite the expression.

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

$\left(4-3m\right)8=\left(4\right)8-\left(3m\right)8$

Step 3. Evaluate the expression.

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

$\begin{array}{l}\left(4-3m\right)8=\left(4\right)8-\left(3m\right)8\left[\mathrm{Multiply}\right]\\ \text{=32-24m}\end{array}$