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

11.06.2025 06:20

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

xx

xxx

xxxx

A Biologist Spotlights The World’s Most Aggressive Bird. Hint: It’s Flightless, It’s Not The Ostrich, And It’s Been Known To Kill People - Forbes

xxx x

xxx x

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

Mormon Wives Come Together for Season 2 Reunion -- But One Major MokTok Member Is Missing! - TooFab

xxxx

n^2 - 1

Move the nub up to the top:

Something Deep in Our Galaxy Is Pulsing Every 44 Minutes. No One Knows Why. - AOL.com

xxx

(n - 1)(n + 1)

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

Why are so many US conservatives in this day and age still against racial mixing? They won't say it in public, but they are still against the mixing between Blacks and whites? Why?

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

n^2 - n + 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

Trevor Penning: The things I do well fit better at guard - NBC Sports

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