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

13.06.2025 06:02

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

Move the nub up to the top:

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

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Why are girls supposed to have a stereotypical "hourglass" body shape, and why if you dont have an "hourglass" body shape you get treated differently? It doesnt make any sense to me.

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

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n^2 - 1

What a list actors/ actresses are notorious for being jerks in real life?

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(n - 1)(n + 1)

How did you know you weren't the narc?

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

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I'm pretty sure that my dog is transgender, how would I go about transitioning it?

n^2 - n + n - 1

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

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Canadians went out of their way to help Americans stranded in Canada after 9.11.2001. Why did Canadians help so much the way they did? We read that Canadians don't particularly like Americans to begin with.

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