algebra precalculus - 8^n - 3^n is divisible by 5

My compitations: Base Case= $8-3 = 5$ is divisible by $5$ Inductive Hypothesis$=$ $8^k - 3^k = 5M$ $8^k = 5M + 3^k$ $3^k = 8^k - 5M$

My final answer is $5(11M + 11^k)$ Please tell me if I have any mistake regarding my computations.