Why is (n-1)(n+1)=n^2-1?
12.06.2025 01:44

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
The basic answer is that you cross-multiply the values in each factor:
xxx
What discoveries in AI research have changed our understanding of intelligence evolution?
xxxx
n^2 - n + n - 1
xxx
Bradford researchers solve mystery of disease and wool trade - BBC
So, that’s a rectangle with sides 2 and 4.
(n - 1)(n + 1)
And you are left with almost a square. One less than the square of side n.
What do bad boys know that nice guys don't?
xx
n^2 - 1
xxx x
xxxx
Move the nub up to the top:
xxx x
Why do wives cheat with black guys?
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2