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

Last Updated: 19.06.2025 00:24

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

xxxx

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

(n - 1)(n + 1)

Can a cop pull you over walking home asking why you are out so late?

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

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

xx

I’ve often wondered why fans aren’t deployed on GBBO during warm weather? I’ve seen too many desserts melt (and bakers too…). (I live in Pompano Beach and we try to use fans in lieu of AC as much as possible).

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

xxx

xxx x

Bravely Default Flying Fairy HD Remaster's New Content Adds To An Already Healthy Runtime - Kotaku

xxx x

n^2 - n + n - 1

n^2 - 1

Cosmetics Industry Icon Leonard A. Lauder, Chairman Emeritus, The Estée Lauder Companies, Passes Away - The Estée Lauder Companies Inc.

xxx

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

xxxx

How do you feel about the impending end of what Donald Trump calls "the Green New scam"?

Move the nub up to the top: