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

16.06.2025 01:49

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

xx

n^2 - 1

xxx x

What were the first few days, weeks, months and then years like after finding out about your spouses infidelity? How did your feelings, and yours & their approach to the situation change in the immediate aftermath compared to later down the line?

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

xxx

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

Are Americans really as uneducated and ignorant as portrayed in the media?

xxx

xxx x

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

How do people in your country say "you're welcome" in their native language(s)? Is it a commonly known phrase or do most people just reply with "no problem"?

n^2 - n + n - 1

The basic answer is that you cross-multiply the values in each factor:

(n - 1)(n + 1)

Why do people with trauma easily recognize other people with trauma through eye contact?

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

xxxx

xxxx

Is there anything you did that you regret? If so, what is it, and why?

Move the nub up to the top: