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

Last Updated: 23.06.2025 05:01

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

xxx x

xxxx

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

Watch 'superorganism' created by tiny worms — the first time it's ever been spotted in the wild - Live Science

xxx

Move the nub up to the top:

n^2 - 1

Space Force demos rapid turnaround on latest GPS III launch - Defense News

n^2 - n + n - 1

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

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

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

xxxx

xx

(n - 1)(n + 1)

Mars’ Mysterious Dark Streaks Are NOT Caused by Water! Here’s the Real Story - The Daily Galaxy

xxx x

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

xxx

Is it fair that 3rd world migrants and refugees are being put up in first class hotels in the UK when there are historic levels of homelessness and poverty?

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