Question

multiple-choice question complete the distribution on the left side. options: 2x - 8 + 8x + 10; 2x - 8 + 8x + 6; 2x - 8 + 8x + 12; 2x - 8 + 8x + 8

Explanation:

Step1: Apply distributive property

We need to distribute the 2 into the parentheses \(2(4x + 6)\). Using the distributive property \(a(b + c)=ab+ac\), we get \(2\times4x+2\times6 = 8x + 12\). So the left - hand side \(2x-8 + 2(4x + 6)\) becomes \(2x-8+8x + 12\) after distribution.

Answer:

The correct option is the one with \(2x-8 + 8x+12\) (the third option among the given choices for the distribution result).