Question

Use the distributive property to write an equivalent variable expression. (Lesson 2.2)

$\mathbf{12}\mathbf{(}\mathbf{3}\mathbf{-}\mathbf{5}\mathbf{y}\mathbf{)}$

Short answer

The equivalent expression for $12(3-5y)$ is $36-60y$.

Step-by-step solution

. Recall the distributive property

The distributive property is given as, $a(b+c)=ab+ac$.

. Simplify the expression

Now, use distributive property to simplify the given expression.

$\begin{array}{l}12(3-5y)\\ \text{=12(3)}-12\left(5y\right)\text{}\left[\text{Distributiveproperty.}\right]\text{}\\ =36-60y\text{}\left[\text{Multiply.}\right]\text{}\end{array}$

. Conclusion 

The equivalent expression for $12(3-5y)$ is $36-60y$.