Question

factor $2d - 8$. write your answer as a product with a whole number greater than 1.

Explanation:

Step1: Find the GCF of 2d and 8

The greatest common factor (GCF) of \(2d\) and \(8\) is \(2\), since \(2\) divides both \(2d\) (as \(2d\div2 = d\)) and \(8\) (as \(8\div2 = 4\)).

Step2: Factor out the GCF

Using the distributive property \(ab+ac = a(b + c)\) (in reverse, factoring out \(a\)), we factor out \(2\) from \(2d-8\). So, \(2d-8=2(d - 4)\).

Answer:

\(2(d - 4)\)