Why is (n-1)(n+1)=n^2-1?
14.06.2025 02:28
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
(n - 1)(n + 1)
xxx
So, that’s a rectangle with sides 2 and 4.
xxxx
xx
n^2 - 1
n^2 - n + n - 1
Can you turn 150 pages into a 5 minute presentation before a meeting?
Move the nub up to the top:
xxx x
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.
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xxxx
Can you summarize season 1 of "The Acolyte"?
xxx x