Logo

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

10.06.2025 12:45

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

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

xxxx

Move the nub up to the top:

Season 3 Perfect Parry change has big implications for C. Viper in Street Fighter 6 - EventHubs

xxx x

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^2 - 1

Mars’ Mysterious Dark Streaks Are NOT Caused by Water! Here’s the Real Story - The Daily Galaxy

xxx

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

n^2 - n + n - 1

Israel launches several attacks on Beirut’s southern suburbs, south Lebanon - Al Jazeera

xxx x

xx

xxx

What are some possible reasons for an unfaithful spouse to not confess their affair to their partner and instead end it without telling them?

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

(n - 1)(n + 1)

xxxx

Is the Democrat party connected with organized crime in America?

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