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

Last Updated: 18.06.2025 00:12

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

(n - 1)(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

Move the nub up to the top:

How can you determine which type of underwear to wear with different styles of clothing, such as dresses?

n^2 - 1

xxxx

xxx x

Why do people still think Michael Jackson was guilty?

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

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

n^2 - n + 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?

xxxx

xx

xxx x

Do you even realise that NASA could've hid or bury every single piece of evidence for a flat-earth and exaggerate their evidence? Have you ever question materialist scientific narratives?

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

How did Kate Mulgrew feel about Jeri Ryan joining the cast of Star Trek: Voyager?

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