Logo

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

10.06.2025 02:52

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

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

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

xxx x

New COVID variant is spreading. Don’t underestimate it, experts say. - NJ.com

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 - 1

Move the nub up to the top:

Man called in bomb threat after missing flight at Detroit Metro Airport, feds say - The Detroit News

xxx

xxx

xxxx

Omada Health Shares Soar After IPO as GLP-1 Drugs Fuel Interest - WSJ

n^2 - n + 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

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

SpaceX adds 27 Starlink satellites to constellation after successful launch from California (video) - Space

xxxx

xxx x

(n - 1)(n + 1)

How do I identify fake friends in life?

xx