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

Last Updated: 22.06.2025 00:15

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

xxxx

Move the nub up to the top:

n^2 - 1

Digital Foundry Delivers Its Mario Kart World Tech Review - "Nintendo's Artistry Stands Out The Most Here" - Nintendo Life

xxxx

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

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

Alan Alda, Mike Farrell Among Those Paying Tribute to Loretta Swit: “A Supremely Talented Actor” - The Hollywood Reporter

xxx x

n^2 - n + n - 1

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

Gastroenterologist shares 5 early warning signs of poor liver health: From loss of appetite to dark patches on face - Hindustan Times

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

xxx x

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

COVID was invented to make trump into a God among men. Quora users are sissy losers when it comes to trump and Andrew tate?

xx

(n - 1)(n + 1)

xxx

6 Ways You Can Control Microplastics From Getting Into Your Food - HuffPost

xxx