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

Last Updated: 23.06.2025 01:53

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

n^2 - n + 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

Move the nub up to the top:

Asus ROG Xbox Ally X pre-order date and price may have been revealed - The Shortcut | Matt Swider

xxxx

(n - 1)(n + 1)

xxx x

Andy Roddick can't believe what's happened to tennis after Roland Garros finishes, 'I certainly didn't expect it' - The Tennis Gazette

n^2 - 1

xxx

xx

Bruce Willis’ Family Share Heartbreaking Health Update on ‘Die Hard’ Star - TV Insider

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

xxxx

xxx

Patchy Mix is latest 'fraud check' victim as he is battered in UFC 316 debut after claiming he would beat Sean O'Malley - Bloody Elbow

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

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.

Rory McIlroy had three words for USGA official when asked to speak with media at US Open - Golfmagic

xxx x