Logo

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

11.06.2025 11:15

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

n^2 - 1

xxxx

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

Tony Awards: Predicting the Winners Using Just Math - The Hollywood Reporter

n^2 - n + n - 1

xx

xxx x

If a person stops thinking one or two words in a second or half second means he had stopped thinking for half second?

Move the nub up to the top:

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

xxx

Heads up! Midnight 16GB 13-inch M4 MacBook Air just dropped again to $800 all-time low ($199 off) - 9to5Toys

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

xxx x

xxx

'AI scientist' discovers that common non-cancer drugs, when combined, can kill cancer cells - Earth.com

xxxx

(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

What happened to the American Russell Bentley from Texas that was fighting for the pro-Russian commies?

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