Logo

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

12.06.2025 00:27

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

xx

xxx x

(n - 1)(n + 1)

Scientists hooking flies on cocaine to study addiction: Reports - WSYR

xxx

xxx x

n^2 - n + n - 1

How to take pictures of the Northern Lights with Google Pixel and other Android phones - 9to5Google

n^2 - 1

xxxx

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

Why are Democrats at Q so desperate that they keep taking down my links to comments that prove the residents in Ohio have been filing complaints about the Haitians eating the local wildlife from ponds in the local parks? Election interference

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

xxx

Move the nub up to the top:

‘Hamilton’ Original Cast Reunites for Tony Awards Medley — Watch - The Hollywood Reporter

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

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

xxxx

A kid threw a stone at my car. I confronted his mom (who was nearby). She said, "You can't prove it was my son." How should I have reacted?

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