Logo

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

08.06.2025 01:51

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

xxx x

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

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

Do you ever feel like you are doing good, but would do better if people hadn’t blamed you or even bothered you? I have gotten lonely, but I always am up to something (creating my destiny).

n^2 - n + n - 1

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

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

Do people of NYC drive around Central Park all the time? Is there any subway tunnel to cross the park quickly? Is it annoying for people and does it cause traffic?

xxx x

xxx

xxx

State of Play Confirmed for 4th June, 40+ Minutes of PS5 Games - Push Square

Move the nub up to the top:

xx

n^2 - 1

Steelers Address Mason Rudolph Trump Rally Appearance In Email To Fans - TMZ

xxxx

xxxx

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

Why the end of Google as we know it could be your biggest opportunity yet - ZDNet

(n - 1)(n + 1)