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

Last Updated: 16.06.2025 01:11

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

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

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Move the nub up to the top:

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n^2 - 1

(n - 1)(n + 1)

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Why hasn't Japan legalized same-sex marriage?

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

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

What do you think of Vance using a clip of an embarrassed teenager from almost 20 years ago in an attempt to bully Kamala Harris?

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

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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

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?

n^2 - n + n - 1