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

Last Updated: 18.06.2025 08:42

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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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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n^2 - n + n - 1

Why do I have the impression that almost all questions about advertising the flat Earth theory come from people who don't believe in a flat Earth themselves and are just provoking?

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)

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

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Move the nub up to the top:

n^2 - 1

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To those people in the world who have access to universal healthcare, what experiences could you share with Americans in order for us to understand how it affects your life (positively or negatively)?

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