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

Last Updated: 25.06.2025 01:05

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

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

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

xxx x

Scientists Just Discovered a Lost Ancient Culture That Vanished - 404 Media

xxxx

xxxx

Move the nub up to the top:

Trump must stop the AI bloodbath before it’s too late - The Hill

n^2 - 1

n^2 - n + n - 1

xxx

Why do you think most harem anime and manga have lame male protagonists that would be considered losers and pathetic by most people?

xx

(n - 1)(n + 1)

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

How will Israelis respond to someone claiming that anti-Zionism is not anti-Semitism, in the same way as anti-feminism not being misogyny and opposing same-sex marriage not being homophobia?

xxx x

xxx

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

What do you think will be the biggest factor in determining whether Daniel Penny was justified in believing that Jordan Neely had posed a deadly threat in the manslaughter trial?

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