Question

check for understanding which answer choice below is equivalent to (2x + 6)4? a) 2x + 24 b) 8x + 24 c) 8x + 6 d) 32x

Explanation:

Step1: Apply distributive property

Using the distributive property \(a(b + c)=ab + ac\), here \(a = 4\), \(b=2x\), \(c = 6\). So we have \(4\times(2x)+4\times6\).

Step2: Calculate each term

Calculate \(4\times(2x)=8x\) and \(4\times6 = 24\). Then combine them to get \(8x+24\).

Answer:

b) \(8x + 24\)