Logo

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

10.06.2025 13:29

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

(n - 1)(n + 1)

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

xxxx

Colorado has now recorded 10 measles cases this year as airport outbreak grows - GazetteXtra

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:

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

This overlooked cause of PTSD is only going to get worse - vox.com

xxx x

xxx x

xxx

Researchers are starting to untangle the links between cognitive processes, emotion regulation, and depression - PsyPost

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

n^2 - n + n - 1

xxx

49ers Sign WR Malik Knowles, Place WR Trent Taylor on IR, and Other Roster Moves - San Francisco 49ers

xxxx

xx

Move the nub up to the top:

Do you think Christine Lagarde will be headed and will be heading for success in the next French presidential elections starting as soon as 2027?

n^2 - 1