Question

Which rational expression is equivalent to 1/(x+4) + 3/(x-5)

Answer 1

Answer:

(4x+7)/(x^2-x-20)

Step-by-step explanation:

To simplify them into one, you need to make the common denominator (x+4)(x-5).

[1(x-5)+3(x+4)]/(x-5)(x+4)

(x-5+3x+12)/(x-5)(x+4)

(4x+7)/(x-5)(x+4)

I'm not sure how simplified you want it, but as I put at the top, the (x-5)(x+4) can be simplified to x^2-x-20