Logo

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

09.06.2025 13:11

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

xxx x

xx

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

No. 2 Coco Gauff faces No. 1 Aryna Sabalenka in French Open women’s final - NBC Sports

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^2 - n + n - 1

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

32.4 Patch Notes - Blizzard Entertainment

xxxx

xxx x

(n - 1)(n + 1)

Bruins Hire Former Forward Marco Sturm As New Head Coach - NESN

xxxx

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

xxx

Dejected Joshua Kimmich reacts to Germany’s Nations League defeat - Bavarian Football Works

xxx

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

How do you leave a relationship when you are still in love?

Move the nub up to the top: