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

14.06.2025 11:29

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

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

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

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It is common sense that Joe Biden is ruining America and is unfit to be president, but why are the liberals still supporting him when Trump is obviously a much better fit for office?

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Move the nub up to the top:

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Have you ever been instructed/forced to crossdress for the benefit of others?

(n - 1)(n + 1)

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

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Why does it seem that Quora's "moderators" base their moderations on personal beliefs and views by deleting answers that are only violating their personal feelings?

n^2 - 1

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

n^2 - n + n - 1