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

Last Updated: 28.06.2025 14:23

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

xx

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

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

I abandoned my Steam Deck for a year – but Nvidia GeForce Now has made it a Nintendo Switch 2 killer - Tom's Guide

xxx

xxxx

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

How common is it for siblings to fight over their parents' inheritance money? What is the best way to handle this type of situation?

xxx x

(n - 1)(n + 1)

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

Stunning Images Reveal The Sun's Surface in Unprecedented Detail - ScienceAlert

Move the nub up to the top:

n^2 - 1

xxx

Do women lack the mental strength to succeed at STEM? There seems to be few women at STEM and more women leave STEM after a time of working at it. How can it be just sexism if women aren't banned from entering?

xxxx

xxx x

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

Kristen Bell sends Adam Scott "deeply insulting" voicemails when she's mad about Severance - AV Club

n^2 - n + n - 1