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

11.06.2025 13:23

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

xxx

xxx

xxx x

WCWS Game 2: Texas Tech evens series with 4-3 win, setting up decisive Game 3 - Yahoo Sports

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

xx

xxxx

Deion Sanders: Pre-draft attacks on Shedeur and Shilo "hurt" - NBC Sports

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

(n - 1)(n + 1)

xxxx

Harvard Asks For Summary Judgment in Funding Case, Says White House Pushed Cuts Despite Agency Objections - The Harvard Crimson

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

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

n^2 - 1

What are some effective ways to cope with loss and grief?

n^2 - n + n - 1

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

xxx x

'In our spacesuit collection for movies, we have replicas of pretty much every historic spacesuit that's been into space.' How the son of an aerospace machinist built some of Hollywood's most iconic astronaut looks (exclusive) - Space

Move the nub up to the top: