Logo

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

Last Updated: 19.06.2025 00:14

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

xxx x

xxxx

(n - 1)(n + 1)

What is the most interesting question you can ask to get to know someone?

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

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

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

Cher’s Son Elijah Blue Allman Hospitalized After ‘Acting Erratically’ - Rolling Stone

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

xxxx

Why does Filipino culture dictate that parents should be treated as gods?

Move the nub up to the top:

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

xx

Why did my 2001 4.6 liter Mustang GT V8 make "only" 260 HP while today's base Dodge 3.6 liter V6 churns out almost 300 HP? Both benefit from fuel injection and ECUs.

n^2 - 1

xxx

xxx

Fighters react to Kamaru Usman's rebound win vs. Joaquin Buckley at UFC on ESPN 69 - MMA Junkie

xxx x