Why is (n-1)(n+1)=n^2-1?
09.06.2025 04:51
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
xx
The basic answer is that you cross-multiply the values in each factor:
Why do boobs of some girls bounce when they walk?
And you are left with almost a square. One less than the square of side n.
n^2 - 1
xxx x
Is a man over 50 not married no kids a red flag?
xxx x
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xxx
Knicks-Pacers: 5 takeaways as Indiana eliminates New York, advances to 2025 Finals - NBA
n^2 - n + n - 1
Move the nub up to the top:
(n - 1)(n + 1)
Robotic table tennis system predicts ball trajectory and adapts swing in real time - Tech Xplore
xxxx
xxx
So, that’s a rectangle with sides 2 and 4.
FDA rushed out agency-wide AI tool—it’s not going well - Ars Technica
xxxx