Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u. Use the answer to express x^3 + 5/(x-2)^4 in partial fractions
really? Just plug and chug
(u+2)^3 + 5/u^4
would you care to use some parentheses?
((u+2)^3 + 5)/u^4 = A/u + B/u^2 + C/u^3 + D/u^4
Now just expand and solve for A,B,C,D