Question 924485

Prove algebraically that 
(2n+1)^2-(2n+1) is an even number

for all positive integer values of n.

Please help :)
<pre>{{{(2n + 1)^2 - (2n + 1)}}}
(2n + 1)[(2n + 1) – 1]
(2n + 1)(2n + 1 – 1)
(2n + 1)(2n), or 2n(2n + 1)
2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number
Therefore, {{{highlight_green(matrix(1,10, 2n(2n + 1), "=", EVEN, NUMBER, "*", ODD, NUMBER, "=", EVEN, NUMBER))}}}