Answer:
-7 / (x^2 +3x-10)
Explanation:
1/ (x+5) - 1/(x-2)
we need to get a common denominator
1/ (x+5) * (x-2)/ (x-2) - 1/(x-2) * (x+5)/(x+5)
(x-2) / (x+5)(x-2) - (x+5)/ (x+5)(x-2)
Combine the numerator
(x-2 -x-5)/ (x+5)(x-2)
-7/(x+5)(x-2)
FOIL the denominator
-7 /( x^2 -2x +5x -10)
Combine terms in the denominator
-7 / (x^2 +3x-10)