Logo

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

12.06.2025 00:47

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

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

xxx

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

Nintendo Switch 2 Welcome Tour Review - IGN

(n - 1)(n + 1)

xx

xxx x

If You Can Perform These 5 Moves at 60, Your Body’s Decades Younger - Eat This Not That

n^2 - 1

xxx

xxx x

Do you think cheating is that bad?

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

n^2 - n + n - 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

What would you do if you found out that someone had broken into your home while you were sleeping?

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

xxxx

Move the nub up to the top:

Scientists Predict a Million-Fold Drop in Oxygen — Here’s What it Means for Earth’s Future - The Daily Galaxy

xxxx