Logo

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

10.06.2025 08:44

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

(n - 1)(n + 1)

xxxx

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

Why have feminists not demanded that females be required to register with the selective service? Are female lives more precious than male lives?

xx

Move the nub up to the top:

xxx

You found a love potion, and your friend tried to use it on an attractive popular girl, but he accidentally dropped it on the neighbors dog. Now the dog won't stop following him. How would you help him?

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

xxxx

xxx x

How can I get my ex-husband to love me again?

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

xxx

xxx x

Sony’s DualSense Edge controller is receiving a rare $30 discount - The Verge

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

n^2 - 1

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

Why is dating so frustrating and difficult for a guy?

n^2 - n + n - 1