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

Last Updated: 18.06.2025 08:34

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

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

Why does my narcissistic ex told me that he f*cked and sleep with other woman and then at the end says that it also happened because of me?

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

n^2 - n + n - 1

xxx

Measles leaves children vulnerable to other diseases for years - Our World in Data

xx

n^2 - 1

Move the nub up to the top:

Why did it take seven days for troops with helicopters, equipment, supplies, food, and water to be dispatched to southeast storm zones?

xxxx

xxxx

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

There is any scientific evidence that we live in a sphere. Why do others say that we lives in a flat Earth but there is no evidence that they have proven the existence of a flat earth?

xxx

(n - 1)(n + 1)

xxx x

Which country has the best and strictest legal system in the world?

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