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

13.06.2025 14:43

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

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 x

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

If everyone in Russia dropped into holes in the ground only never to return, would that be good for NATO and international peacekeepers? Can we convince Russians to be less diabolical, so they coexist? Does Putin stink like doo doo in the commode?

xxx x

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

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

What is the significance of Pete Rose, the all-time hits leader in Major League Baseball, who just passed away?

xxxx

n^2 - 1

(n - 1)(n + 1)

Doctors say this lifestyle choice is the biggest contributor to cognitive decline and dementia - Earth.com

xxx

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

xxx

Why do certain religions consider menstruating women to be impure? Where did the concept of impurity stem from?

n^2 - n + n - 1

Move the nub up to the top:

xx

Why does cocaine makes me want to dress up and get fuck

xxxx