Question

Use distributive property to find the product of$3(x-z)$ .

Short answer

The product of $3(x-z)$ is $2x+2y$ with the help of distributive property.

Step-by-step solution

Step 1. Write down the given expression.

The given expression to evaluate for product using the distributive property is $3(x-z)$.

Step 2. Evaluate product using the distributive property.

Evaluate product of $3(x-z)$ gives,

$\begin{array}{c}3(x-z)=\left(3\right)\left(x\right)-\left(3\right)\left(z\right)\mathrm{....}\left(\begin{array}{l}\text{Distributiveproperty}\\ a(b-c)=ab-ac\end{array}\right)\\ =3x-3z\end{array}$

Step 3. Conclusion.

The product of$3(x-z)$ is $3x-3z$ with the help of distributive property.