What is the difference ? x/x^2-2x-15-4/x^2+2x-35

 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)

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Step-by-step explanation: I just did it on edge