If the equivalent partial fraction of x^3 (2 x-1)(x+2)(x-3) is given by. A+ B 2 x-1 + C x+2 + D x-3 , then the value of C is

Step-by-step solution

Here, array l x^3 (2 x-1)(x+2)(x-3) =A+ B 2 x-1 + C x+2 + D x-3 x^3=A(2 x-1)(x+2)(x-3)+B(x+2)(x-3) . +C(2 x-1)(x-3)+D(2 x-1)(x+2) array aligned & On putting x=-2 , & -8=C(-5)(-5) & C= -8 25 & aligned