Logo

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

10.06.2025 01:20

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

xxx

n^2 - n + n - 1

Move the nub up to the top:

Does a narcissist ever get their comeuppance/karma for the vile things they've done? Such as cheating, smear campaign, etc.

xxx

xxx x

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

The U.S. hasn’t seen a new confirmed human bird flu case in nearly 4 months — why? - Yahoo

xx

xxx x

xxxx

CVS is shutting down 271 stores in 18 states. Is your pharmacy affected? - NJ.com

n^2 - 1

(n - 1)(n + 1)

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

Astronomers Have Detected a Galaxy Millions of Years Older Than Any Previously Observed - WIRED

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

xxxx

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

Why do you allow your cat to lie in bed with you?

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