Every even number can be written in the form 2n....Therefore..
2n * 2n = 4n^2
But 4n^2 = 2(2n^2) and this is divisible by 2 for any integer n ....and divsibility by 2 is the definition of an even number......so an even times an even is always even.
Every even number can be written in the form 2n....Therefore..
2n * 2n = 4n^2
But 4n^2 = 2(2n^2) and this is divisible by 2 for any integer n ....and divsibility by 2 is the definition of an even number......so an even times an even is always even.
