Logo

Why is (n-1)(n+1)=n^2-1?

12.06.2025 03:18

Why is (n-1)(n+1)=n^2-1?

xxx

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

xxx x

How is the story of Rukmini Devi described in the Harivamsha, Rukminisha Vijaya and Shrimad Bhagavatam?

xxxx

So, that’s a rectangle with sides 2 and 4.

n^2 - 1

Jamie Dimon says he wouldn't count on China folding under Trump's tariffs: 'They're not scared, folks.' - Business Insider

xxx x

And you are left with almost a square. One less than the square of side n.

n^2 - n + n - 1

Travis Kelce Salutes Taylor Swift for Buying Her Masters Back, 'It's Finally Hers' - Bleacher Report

The basic answer is that you cross-multiply the values in each factor:

xxx

xx

A Glucose Monitor for Someone Without Diabetes: Optimal or Overkill? - WSJ

Move the nub up to the top:

(n - 1)(n + 1)

xxxx

What are the coolest new smart home gadgets to upgrade your living space?

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2