Question

combine the like terms to create an equivalent expression. 8(4 + 4x) - 8

Explanation:

Step1: Apply distributive property

First, we apply the distributive property \(a(b + c)=ab+ac\) to \(8(4 + 4x)\). So we have \(8\times4+8\times4x=32 + 32x\). Now the expression becomes \(32 + 32x-8\).

Step2: Combine constant terms

Next, we combine the constant terms \(32\) and \(- 8\). \(32-8 = 24\). So the simplified expression is \(32x+24\).

Answer:

\(32x + 24\)