Logo

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

12.06.2025 04:45

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

xxx

xxxx

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

Nelly Korda coaxes in final birdie, overcomes front-nine 40 to stay in U.S. Women's Open mix - NBC Sports

n^2 - 1

xxx

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

Should you track your blood sugar with a continuous glucose monitor? - NPR

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

xxxx

xxx x

Do you have any opinion on Japanese writer/actor Yukio Mishima?

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

n^2 - n + n - 1

Move the nub up to the top:

New Nintendo Switch 2 Welcome Tour demo trailer shows off mini games and tech demos in-action - Eurogamer

(n - 1)(n + 1)

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

xx

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

xxx x