Logo

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

10.06.2025 00:26

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

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

xxxx

xxx

Traders Scour for ‘Elusive’ Catalyst to Push S&P 500 to Record - Bloomberg

(n - 1)(n + 1)

xxx

xx

Tesla is forced to remove 64 Superchargers on NJ Turnpike, Musk claims ‘corruption’ - Electrek

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

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

Why do women consider 80% of men as unattractive?

n^2 - 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

xxx x

Why do ugly men flirt with girls that are really hot?

xxxx

Move the nub up to the top:

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

Anthropic researchers predict a ‘pretty terrible decade’ for humans as AI could wipe out white collar jobs - Fortune

xxx x