Prove that, for all positive values of n?

Question

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

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Answer 1 · 2018-03-24T11:09:55

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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#