Question

Simplify using properties of operations and then factor the expressions using the GCF. (2g + 2) - (-4g - 7)

Answer 1

3(2g + 3)

Explanation:

We start out with the expression (2g + 2) - (-4g - 7).

Firstly, let's distribute the negative:

(2g + 2) - (-4g - 7)

2g + 2 + 4g + 7

Now, combine like terms:

2g + 4g + 7 + 2

6g + 9

The GCF stands for "Greatest Common Factor." In this case, we have to find the GCF between 6 and 9. What is the GCF of 6 and 9? It would be 3. So,

6g + 9

3(2g + 3)