Why is (n-1)(n+1)=n^2-1?
Last Updated: 30.06.2025 00:36

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
Move the nub up to the top:
Hundreds of Mysterious Giant Viruses Discovered Lurking in The Ocean - ScienceAlert
xxx
And you are left with almost a square. One less than the square of side n.
(n - 1)(n + 1)
Nintendo Switch 2 owners urged not to skip crucial step setting up their new consoles - GAMINGbible
n^2 - n + n - 1
xxx x
n^2 - 1
I want to be a well-rounded person. What should I do?
So, that’s a rectangle with sides 2 and 4.
The basic answer is that you cross-multiply the values in each factor:
xxx x
Ipsum quo molestiae officiis qui voluptates sequi veniam qui.
xxx
xx
xxxx
What were your fantasies when you reached puberty?
xxxx