Logo

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

10.06.2025 02:08

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

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

xxx x

xxx

Physicists Unveil New Quantum Super Material That Could Revolutionize Electronics - SciTechDaily

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 x

New ‘Dungeons & Dragons’ Single-Player Video Game in the Works - Variety

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

xx

Move the nub up to the top:

We've finally slowed the surge in overdose deaths. The Trump admin may undo all of it - Salon.com

n^2 - n + n - 1

xxx

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

If everyone in Russia dropped into holes in the ground only never to return, would that be good for NATO and international peacekeepers? Can we convince Russians to be less diabolical, so they coexist? Does Putin stink like doo doo in the commode?

n^2 - 1

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

(n - 1)(n + 1)

How can I get my ex-husband to love me again?

xxxx