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

Last Updated: 29.06.2025 10:17

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

Move the nub up to the top:

xxxx

xxx x

Thin, Light and Built to Last: The New Era of the Galaxy Z Series - Samsung Newsroom

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

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

(n - 1)(n + 1)

Why don’t Jews regard Jesus as an important teacher or rabbi, if not the Messiah? Putting aside messianic claims, wouldn’t Jesus be one of the most significant Jewish teachers in human history?

xxx x

n^2 - 1

n^2 - n + n - 1

Why can't hot girls date ugly guys? I am ugly but I want an attractive girlfriend

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

xxx

NASA spots Martian volcano twice the height of Mount Everest bursting through the morning clouds: Space photo of the week - Live Science

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

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

xxxx

Empowering Coffeehouse Leaders: Starbucks expands Assistant Manager Role across the U.S. - Starbucks Coffee

xx