Chapter 7.2, Problem 64CCR

To determine

The equivalent expression using the Distributive property.

Answer to Problem 64CCR

  $8z-24$

Explanation of Solution

Given:

The expression, $8\left(z-3\right)$

Concept used:

• The distributive property of binomials (FOIL): $\left(a+b\right)\left(c+d\right)=a\cdot c+a\cdot d+b\cdot c+b\cdot d$
• Left distributive property: $a\left(b+c\right)=a\cdot b+a\cdot c$

Calculation:

In order to write an equivalent expression for the given expression, use the left distributive property and simplify further as shown below

  $\begin{array}{c}8\left(z-3\right)=8\cdot z+8\cdot \left(-3\right)\\ =8z-24\end{array}$

Thus, the equivalent expression is $8z-24$.