Why is (n-1)(n+1)=n^2-1?
14.06.2025 07:18

xxx
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
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 did your sister do to you that you can never forget?
So, that’s a rectangle with sides 2 and 4.
xx
xxx
xxxx
Move the nub up to the top:
xxx x
Even Captain James T. Kirk was trapped in a woman's body. Don't you think he'd support trans people?
(n - 1)(n + 1)
n^2 - 1
n^2 - n + n - 1
Can bosses get fired for being too hard on employees?
xxxx
The basic answer is that you cross-multiply the values in each factor:
xxx x
How Long Of A Ride Is Mario Kart World? - Kotaku
And you are left with almost a square. One less than the square of side n.