Answer:
(2x+5)/(x²-3x) - (3x+5) / (x³-9x) - (x+1) / (x²-9) = (x+5)(x+2) / (x³-9x)
Step-by-step explanation:
(2x+5)/(x²-3x) = (2x+5) /x(x-3) = (2x+5) (x+3) / (x (x+3) (x-3)) = (2x²+11x+15) / (x³-9x)
(3x+5) / (x³-9x)
(x+1) / (x²-9) = (x+1)*x / (x²-9)* x = (x²+x) / x³-9x
(2x+5)/(x²-3x) - (3x+5) / (x³-9x) - (x+1) / (x²-9) = (2x²+11x+15-3x-5-x²-x) / (x³-9x)
= (x²+7x+10) / (x³-9x)
= (x+5)(x+2) / (x³-9x)
