Logo

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

Last Updated: 21.06.2025 06:50

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

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

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

Person arrested after security threat at Sea-Tac, flights halted - MyNorthwest.com

xxx

xxx x

n^2 - n + n - 1

How will the article end in Part III of Gleissner's hit piece?

xxx x

n^2 - 1

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

Was Michael Jackson really an innocent person?

xxx

(n - 1)(n + 1)

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

Why am I so afraid that gun owners have set traps to kill me outside my house or my car?

xxxx

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

xx

How does growing up in chaos affect a child as they become an adult?

Move the nub up to the top: