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

Last Updated: 01.07.2025 00:23

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

n^2 - 1

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

xxxx

Suspect in Boulder Molotov attack faces federal hate crime charge - Axios

xxx x

xxx

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

Putin's uncompromising demands emerge after the latest round of Russia-Ukraine peace talks - AP News

xx

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

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

Which is the better research AI than Chat GPT?

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

xxx

xxxx

Why cant I sleep? When I'm about to fall asleep, I get excited that im about to sleep, causing me to wake up again. It repeats till my sleepiness is gone. I tried taking melatonin and not using my phone, but I end upawake for hours.

xxx x

n^2 - n + n - 1

(n - 1)(n + 1)

Geologists Reveal World’s Biggest Iron Deposit Worth $6 Trillion Set to Impact Global Economy - The Daily Galaxy

Move the nub up to the top: