Discrete proof? So we're doing proofs regarding numbers in discrete and I'm unsure of form. Is there anyone who could help me through this?
Prove $n^2 + 2n +1$ is odd for all even integers, then prove that it is odd for all integers.

Hint: $n^2+2n+1=(n+1)^2$. 


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*What happens if $n$ is even, or more explicit $n=2k$, in which $k \in \mathbb{Z}$.

*What happens if $n$ is odd, or more explicit $n=2k+1$, in which $k \in \mathbb{Z}$.

