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

Last Updated: 03.07.2025 01:36

Why is (n-1)(n+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

Move the nub up to the top:

(n - 1)(n + 1)

Los Angeles Area Emmy Awards Nominations Revealed - Deadline

xxx

xxx x

xxx x

Isn't it unfortunate for the Democrats that we Republicans are the masters of the universe who control everything while the Democrats control nothing?

xxxx

xx

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

Trump orders investigation into Biden's actions as president, ratcheting up targeting of predecessor - AP News

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

n^2 - 1

xxx

Lowering Blood Pressure May Cut Dementia Risk by Up to 15% - Neuroscience News

n^2 - n + 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

xxxx

Is "Cancel Culture" a Threat to Free Speech? Many argue that cancel culture has gone too far, leading to the silencing of unpopular opinions or voices. But is it really a violation of free speech or a consequence of people holding others accountable?

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