Question

Find the difference 7/x^2-7x - 5/x^2-49

Answer 1

Rewriting the expression we have:
 (7 / (x ^ 2-7x)) - (5 / (x ^ 2-49))
 Rewriting the denominator:
 (7 / (x * (x-7))) - (5 / ((x-7) (x + 7)))
 (1 / (x-7)) * ((7 / x) - (5 / (x + 7)))
 Rewriting we have:
 (1 / (x-7)) * (((7x + 49) + (-5x)) / (x * (x + 7)))
 (1 / (x-7)) * ((2x + 49) / (x * (x + 7)))
 ((2x + 49) / (x * (x + 7) * (x-7)))
 Answer:
 The difference is:
 ((2x + 49) / (x * (x + 7) *(x-7)))