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

15.06.2025 21:21

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

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

xxx x

xxx

Scientists reveal how to cut onions without crying, and their method is incredibly simple. - Farmingdale Observer

n^2 - 1

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

(n - 1)(n + 1)

Why do narcissist move on so easily?

xxxx

xx

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

What is the reason for the high number of stray dogs in Thailand? What measures are being taken to address this issue?

Move the nub up to the top:

xxxx

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

Researchers claim spoof-proof random number generator breakthrough - theregister.com

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

xxx

n^2 - n + n - 1

How is it, in the USA, a country with 334 million people, the choice of President comes down to two aged men, one of whom is a liar as well as a criminal, one who appears to be on his way to dementia. Surely a democratic country can put up better?

xxx x