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

11.06.2025 03:14

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

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

Why is it common for guys to sleep with 10-20 women then marry a good girl?

n^2 - 1

(n - 1)(n + 1)

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

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Why are US customs agents so talkative? I cringed hard when a US customs agent asked me if I was on vacation. He doesn’t need to know why I went to another country as long as I am a U.S. citizen.

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

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Move the nub up to the top:

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

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n^2 - n + n - 1