Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u

Substitute u = x - 2, we get:

x^3 = (u + 2)^3
(x - 2)^4 = u^4

Rewriting the original expression using the substitutions, we get:

x^3 + 5/(x - 2)^4 = (u + 2)^3 + 5/u^4

Hence, the expression in terms of u is (u + 2)^3 + 5/u^4.