Let, P(n) be the given statement,

Thus, P(1) is true.

Step2: Let, P(m) be true.

Now, we need to show that P(m+1) is true when P(m) is true.

As P(m) is true

Thus, P(m+1) is divisible by x+y. So, by the principle of mathematical

induction P(n) is true for all n.