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

Last Updated: 16.06.2025 02:19

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

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

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

xxx

Mario Kart World wouldn’t be in the running for Game of the Year even if it was perfect - polygon.com

(n - 1)(n + 1)

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

xxxx

Why do people hate fat people so much, even people who aren't exactly supermodels themselves? It seems like such a deep, passionate hatred, like they're offended by fat people just existing. Fat people didn't do anything to them, so why hate them?

xxx x

n^2 - 1

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

Why do you write?

n^2 - n + n - 1

xx

xxx

Why are girls supposed to have a stereotypical "hourglass" body shape, and why if you dont have an "hourglass" body shape you get treated differently? It doesnt make any sense to me.

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

xxx x

xxxx

If you were president, how would you make America "great again?"

Move the nub up to the top: