Answer:
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Explanation:
(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =
(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =
((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =
(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)