For our first part, we have to find our common denominator. When we distribute, we have to multiply the bottom as well as the top by the same thing. Then we combine our like terms and we should end up with 6x^2 -5x -10/(x+1)(x+2)(x-2)
Next we have to set our variables and multiply to get the common denominator. Then we combine our terms and set it equal to our previous answer.
Then we set up our systems as matrices and use the rref option on our calculator. We should get these three answers.
This is the answer that we should get in the end. We should notice that this is the answer that we started with. WE should be careful when we are combining all of our like terms.