Why is (n-1)(n+1)=n^2-1?
10.06.2025 13:44
(n - 1)(n + 1)
xxx
xxxx
What is the one thing you don't understand that others do?
n^2 - n + n - 1
Move the nub up to the top:
xxxx
xxx
So, that’s a rectangle with sides 2 and 4.
xx
xxx x
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
The dancing monk: Why mature people don’t chase total control - Big Think
And you are left with almost a square. One less than the square of side n.
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
This overlooked cause of PTSD is only going to get worse - vox.com
xxx x