Answer:
(5x+3)/((2x-3)(x+2)) = 3/(2x-3)+1/(x+2)
Step-by-step explanation:
Let
(5x+3)/((2x-3)(x+2)) = A/(2x-3)+B/(x+2)
5x+3=A(x+2)+B(2x-3)
5x+3=x(A+2B)+(2A-3B)
comparing x:
5=A+2B ... (1)
comparing constant:
3=2A-3B ... (2)
By solving:
A=3, B=1
(5x+3)/((2x-3)(x+2)) = 3/(2x-3)+1/(x+2)
