Question

Hello! It’s Rose I’m having trouble with this ACT practice problem, *Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.*

Answer 1

Here, the denominator of the given expression is a quadratic expression whose factors are (x+3) and (x-4). So, the given expression can be written as:

`(2x-2)/(x^2-x-12)=(2x-2)/((x+3)(x-4))`

Now, separate the terms in the numerator as follows:

`(2x-2)/((x+3)(x-4))=(2x)/((x+3)(x-4))+(-2)/((x+3)(x-4))`

Therefore, the required answer is given below: