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

Last Updated: 22.06.2025 03:08

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

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

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

xxx

How long can someone with narcissistic tendencies maintain a facade of fake love before their true self is revealed? Is there a specific trigger or amount of time that causes them to reveal their true nature?

n^2 - 1

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

xxx

Djokovic vs Norrie: Things we learned - Roland Garros

(n - 1)(n + 1)

xxx x

xxxx

Isn't it great that we have an incoming president who is embracing ideas from the past like manifest destiny? Isn't it greater that Trump is willing to get us more territory and land?

xx

n^2 - n + n - 1

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

What is the future of artificial intelligence?

xxxx

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

15,000 Light-Years Away, Something Is Blinking – And It Might Rewrite Physics - SciTechDaily

Move the nub up to the top: