Why is (n-1)(n+1)=n^2-1?
Last Updated: 21.06.2025 00:01
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xxxx
xxx x
xx
n^2 - 1
xxx
Why do people stop working towards achieving their dreams?
xxx x
xxxx
(n - 1)(n + 1)
xxx
Move the nub up to the top:
n^2 - n + n - 1
If women aren't shallow, why do most tall, good-looking men have girlfriends?
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
So, that’s a rectangle with sides 2 and 4.
The basic answer is that you cross-multiply the values in each factor:
And you are left with almost a square. One less than the square of side n.