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

11.06.2025 23:55

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

(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

xxx

13 million years ago, this object released as much energy as a billion suns in a fraction of a second! - Farmingdale Observer

xxx x

xxxx

xxxx

What would happen if the US government told the British government in no uncertain terms all RAF bases with USAF personnel now must follow the Constitution and us law, and if the UK tried to defy this, the US military would directly attack the UK?

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

xxx x

n^2 - 1

What is your review of "Regent", episode 5 of Season 2 House of the Dragon?

n^2 - n + n - 1

xxx

xx

I’ve Figured Out a Method for Keeping My Son’s Favorite Toy Clean. It Might Lead to Some Trust Issues. - Slate Magazine

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

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

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

IO Interactive Reveals 007 First Light, Full Trailer Out This Week - Game Informer

Move the nub up to the top: