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

Last Updated: 22.06.2025 21:44

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

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

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

The world of the Harry Potter series is usually considered bad worldbuilding. What are some examples of actually good worldbuilding in the books/movies?

n^2 - 1

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

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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

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

(n - 1)(n + 1)

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n^2 - n + n - 1

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What are effective strategies to build a referral network for BPO projects?

Move the nub up to the top: