Logo

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

12.06.2025 08:06

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

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

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

My stepmother has banned me from the family. Can she legally keep me from going to my father's funeral?

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

xx

xxx x

A misplaced MRI found a tumor on her spine. Doctors removed it through her eye in a first-of-its-kind surgery. - CBS News

xxxx

xxx x

xxx

Billy Joel cracking jokes about ‘getting old,’ ‘cremated’ after brain disorder diagnosis, Tribeca doc director shares - New York Post

n^2 - n + n - 1

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

More measles exposures are happening at airports and tourist destinations. Here’s what travelers need to know - CNN

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

xxx

Move the nub up to the top:

Mayor of Palmer Lake resigns amid controversy surrounding proposed Buc-ee’s location - KRDO

(n - 1)(n + 1)