Question

What is the sum of the following rational expressions? 3x+2/x^2-1+x-4/x^2-1

Answer 1

Assuming the expressions are (3x+2)/(x^2−1) + (x−4)/(x^2−1), they have the same denominator, so add numerators:

(3x+2)+(x−4) = 4x−2.

Thus the sum is (4x−2)/(x^2−1) = 2(2x−1)/(x^2−1), with x ≠ ±1.