Why is (n-1)(n+1)=n^2-1?
10.06.2025 02:35

So, that’s a rectangle with sides 2 and 4.
xxx
The basic answer is that you cross-multiply the values in each factor:
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xxxx
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’s the saddest thing you’ve seen at your job?
xx
Move the nub up to the top:
xxx x
Best Pokémon to Vote for in August 2025 Community Day (PvP Analysis) - Pokémon GO Hub
(n - 1)(n + 1)
n^2 - 1
xxxx
xxx x
xxx
n^2 - n + n - 1
What is the most overrated pleasure? Why?
And you are left with almost a square. One less than the square of side n.