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

08.06.2025 02:14

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

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

n^2 - 1

xxx

CD PROJEKT RED and Epic Games Present The Witcher 4 Unreal Engine 5 Tech Demo at The State of Unreal 2025! - cdprojekt.com

xx

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 x

What is the most comfortable heel height for women's dress shoes and what are the differences between wearing high heels and lower heels?

xxx x

Move the nub up to the top:

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

Why do all the stupid people think Donald J. Trump is stupid?

xxxx

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

n^2 - n + n - 1

Chairman Comer Subpoenas Dr. O’Connor Over Cover-Up Of Biden’s Mental Decline - United States House Committee on Oversight and Accountability - (.gov)

xxxx

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

xxx

What is the correct way to say "my pleasure" in French in the context of having given a gift?

(n - 1)(n + 1)