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)))