Logo

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

10.06.2025 05:22

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

xxxx

(n - 1)(n + 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

Do very hot men ever feel attracted to an ugly woman? Why?

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

n^2 - 1

xxxx

Blocking Brain Inflammation Molecule May Halt Alzheimer’s - Neuroscience News

xxx x

xxx x

n^2 - n + n - 1

RFK Jr. looks to fast track rare disease drug approvals (updated) - Seeking Alpha

xxx

xx

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

Power Rankings: RBC Canadian Open - PGA Tour

xxx

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

Move the nub up to the top:

Ethane Exporter Says U.S. Won’t Allow Shipments to China - WSJ

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