Why is (n-1)(n+1)=n^2-1?
Last Updated: 17.06.2025 00:43

And you are left with almost a square. One less than the square of side n.
(n - 1)(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
What does it feel like to "lose your looks" to age?
xxxx
n^2 - n + n - 1
xxxx
What are tips for weight loss?
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xxx x
xxx
xx
n^2 - 1
Move the nub up to the top:
Has your wife or girlfriend ever been felt up in public by a stranger?
The basic answer is that you cross-multiply the values in each factor:
xxx
xxx x
How much stronger is an average man than an average woman?
So, that’s a rectangle with sides 2 and 4.