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:
[tex]\frac{2x-2}{x^2-x-12}=\frac{2x-2}{(x+3)(x-4)}[/tex]
Now, separate the terms in the numerator as follows:
[tex]\frac{2x-2}{(x+3)(x-4)}=\frac{2x}{(x+3)(x-4)}+\frac{-2}{(x+3)(x-4)}[/tex]
Therefore, the required answer is given below:
