How do you express as a partial fraction #(2x) / ((x-2)(x²+1)(x+1)²)#?
The denominator is already factored, so we need:
Clear fractions to get:
# = A(x^4+2x^3+2x^2+2x+1) + B(x^4-x^3-x^2-2) + C(x^3-2x^2+x-2) + (Dx+E)(x^3-3x-2)#
Do the algebra to regroup and equate coefficients. You'll get a system of 5 equations in 5 unknowns. Solve to find: