Question

How do you subtract `\frac { 7b - 2} { 3b + 6} - \frac { b + 7} { 3b + 6}`?

Answer 1

`(6b-9)/(3b+6`

Explanation:

`(7b-2)/(3b+6)-(b+7)/(3b+6)`

Combine the terms using the common denominator.

`((7b-2)-(b+7))/(3b+6)`

Open the brackets and simplify. Keep in mind that multiplying a positive and a negative results in a negative.

`(7b-2-b-7)/(3b+6)`

`(6b-9)/(3b+6)`