Logo

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

11.06.2025 00:23

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

xxx

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

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

Why is pornography still alive and not illegal? Why doesn’t the government do about tricking women into them?

xxx x

(n - 1)(n + 1)

Move the nub up to the top:

Ground beef sold at national grocery chain might be contaminated with E. coli, USDA warns - AL.com

xxxx

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

xxx x

Doctors Have Been Saying Sugar Is Bad – But They Missed This - SciTechDaily

n^2 - n + n - 1

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

xxx

It’s back! Massive $400 price drop now live on 2TB Space Black M4 iPad Pro at Amazon - 9to5Toys

n^2 - 1

xx

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

What baseball stories from the early days of the sport seem too bizarre to be true?

xxxx