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math - prove

In other words expand and simplify the left hand side to show you get the right hand side.

Take care with your working.

Prove that (n – 1)2 + n2 + (n + 1)2 = 3n2 + 2

2 comments

2 Comments

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Aug 18, 2022

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May 31, 2019

Hi Victoria!

First, it is easer if you write the left hand side as:

(n-1)(n-1) +n2 + (n+1)(n+1)

Then expand the two sets of brackets using FOIL and you will get:

n2 -2 n + 1 + n2 + n2 +2n + 1

Then add the like terms and you will get:

3n2+2

Hope this helps :)