x / x² - 2x - 15 - 4 / x² + 2x - 35
FIND THE FACTOR OF EACH DENOMINATOR
= x / (x-5)(x+3)
- 4 / (x-5) (x+7)
FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.
= x / (x-5)(x+3) *
(x+7) / (x+7) - 4 / (x-5) (x+7) * (x+3)/(x+3)
PERFORM SUBTRACTION
= x2 + 7x / (x-5) (x+3) (x+7) - (4x + 12) / (x-5) (x+7) (x+3)
= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)
this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)