Why is (n-1)(n+1)=n^2-1?
09.06.2025 08:49

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
xxxx
Is LGBTQ destroying the world?
The basic answer is that you cross-multiply the values in each factor:
xx
xxx
Move the nub up to the top:
xxx
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
If white people had been slaves, would WLM be a thing right now?
xxx x
xxxx
xxx x
The Best Tech Gifts for Father’s Day 2025 - Gizmodo
n^2 - n + n - 1
So, that’s a rectangle with sides 2 and 4.
(n - 1)(n + 1)
Belmont Stakes: Hill Road faces challenges beyond tough field - Horse Racing Nation
n^2 - 1