Logo

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

13.06.2025 02:38

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

xxxx

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

xxxx

Matching dinosaur footprints found on opposite sides of the Atlantic Ocean, answering a very old question - Earth.com

xxx

n^2 - 1

Move the nub up to the top:

New Alzheimer’s blood tests make diagnosis easier — but they’re not right for everyone - San Francisco Chronicle

xxx

xx

xxx x

CNN’s Live ‘Good Night, and Good Luck’ Telecast Spurs Special Coverage - Variety

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.

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

Ok, so this is a question seeking an answer to clear up whatever gymnastics are in my head. I'm a moderately attractive guy, sincere heart, genuinely looking to love another, established. Why don't women that I'm attracted to, want me back?

xxx x

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

n^2 - n + n - 1

Night Owls More Impulsive Than Morning Larks - Neuroscience News

(n - 1)(n + 1)