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

Last Updated: 01.07.2025 11:52

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

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

xxx

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

What’s the best AI coding tool for beginners?

Move the nub up to the top:

xxx x

xxx x

NASA spacecraft around the moon photographs the crash site of a Japanese company's lunar lander - Laredo Morning Times

(n - 1)(n + 1)

n^2 - n + n - 1

n^2 - 1

Beautiful European women were killed by inquisition but Russia was not Catholic. Is this the reason for a drastic difference explaining why Russian women are the prettiest?

xxxx

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

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 I only have a fire extinguisher to defend myself against some threat from people, should I spray them for max damage or just hit them with the fire extinguishers?

xx

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

xxxx

Northern Lights Alert: 8 States May See Aurora Borealis Monday Night - Forbes

xxx