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

Last Updated: 24.06.2025 09:07

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

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

If everyone hates censorship so much, why do those “censorship-free” alternative social media sites always fail?

n^2 - n + n - 1

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

(n - 1)(n + 1)

Why do so many people seem to hate Nickelback? They're competent and entertaining, and while they certainly aren't the absolute best music, they're still a fun listen.

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Move the nub up to the top:

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If your only job was to make people laugh at you and that’s all you were good for, would you be depressed?

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

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I'm looking for an answer from people who consider themselves "Gender Critical", or transphobic, or TERFs, and my question is this - Why would you refuse to use the pronouns someone wants? What does it cost you? Where's the harm?

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

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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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n^2 - 1