Why is (n-1)(n+1)=n^2-1?
09.06.2025 06:04

So, that’s a rectangle with sides 2 and 4.
Move the nub up to the top:
n^2 - n + n - 1
What are some sad truths about life?
xxx
And you are left with almost a square. One less than the square of side n.
xxxx
(n - 1)(n + 1)
The basic answer is that you cross-multiply the values in each factor:
xx
I tested Apple’s 11th-gen iPad for a week, and it’s still the best tablet - CNN
n^2 - 1
xxxx
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
Ireland added to list of countries monitored by the U.S. for currency manipulation - Fortune
xxx
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
xxx x
Why do so many autistic adults deal with self-hatred?
xxx x