Logo

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

12.06.2025 09:16

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

xxxx

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

xxx

What happens if someone fills up their car at the pump but leaves without paying? How is this situation typically handled?

n^2 - n + n - 1

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

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

Craig Breslow Discusses Red Sox’ Struggles, Future Plans - MLB Trade Rumors

xxx

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

(n - 1)(n + 1)

Review of American Airlines' Flagship Suite Preferred on the inaugural flight - The Points Guy

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

xxx x

n^2 - 1

WWE-AAA Crossover Worlds Collide Becomes Company’s Most-Watched Live YouTube Broadcast Ever (EXCLUSIVE) - Variety

xxxx

Move the nub up to the top:

xx

What’s up in the sky for June 2025? Arietid meteor shower, strawberry moon and much more - WTOP

xxx x