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

09.06.2025 13:15

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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(n - 1)(n + 1)

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

n^2 - n + n - 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

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I see ugly guys dating gorgeous, "hot" women all the time. I, too, am not very attractive but I'm not doing well with the ladies. What's their secret?

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

Move the nub up to the top:

n^2 - 1

What is better, 4 more years of Trump with the media trying to hurt him, or 8 years of DeSantis with the media licking booty, or 4 to 8 years of RFK with the media hating on him all the time? (Biden is not an option, he can't win)

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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I’m 17 and looking for a girl. What do I do?

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