Prove that, for all positive values of n?

1/4(2n+1)(n+4)-1/4n(2n+1)=2n+1

1 Answer
Mar 24, 2018

See below

Explanation:

Exploding first member by distributive law

1/4(2n+1)(n+4)-1/4n(2n+1)=cancel(1/2n^2)+2n+cancel(1/4n)+1-cancel(1/2n^2)-cancel(1/4n)=2n+1