Question 447019

2x/(2x-3)(x+5)=A/2x-3 + B/x+5


A/2x-3 + B/x+5 = [ A(x+5) + B(2X-3) ]/(2X-3)(X+5)

= [ X(A+2B) + 5A-3B ]/ (2X-3)(X+5)


now, compare both numerator and  compare value of X and constant values..

A+2B = 2  ,   5A-3B = 0

solving these equations, A = 6/ 13 , B = 10/13