Why is (n-1)(n+1)=n^2-1?

12.06.2025 00:22

Why is (n-1)(n+1)=n^2-1?

xxxx

n^2 - n + n - 1

xxx

Why do I randomly start sweating a lot in public (while waiting in line, in a new class, etc.) then start sweating more because I’m embarrassed that I’m sweating so much? Is this social anxiety?

(n - 1)(n + 1)

And you are left with almost a square. One less than the square of side n.

xx

Italy citizenship referendum polarises country - BBC

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

Why are so many US conservatives in this day and age still against racial mixing? They won't say it in public, but they are still against the mixing between Blacks and whites? Why?

So, that’s a rectangle with sides 2 and 4.

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

Move the nub up to the top:

Why are US customs agents so talkative? I cringed hard when a US customs agent asked me if I was on vacation. He doesn’t need to know why I went to another country as long as I am a U.S. citizen.

xxx x

n^2 - 1

xxx x

Is it still wrong to spread misinformation even if it's only to troll people rather than harming them?

xxx