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

15.06.2025 19:50

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

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Move the nub up to the top:

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

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

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

Why isn't the FBI raiding all Silicon Valley companies like Facebook, Twitter, Instagram, WhatsApp, TikTok, Reddit, Google, Yahoo, YouTube, Disqus, Wikipedia for censoring the World through their Ban cartel violating the constitution freespeech laws?

n^2 - n + n - 1

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

What defines the k'vanna of the Book of בראשית?

(n - 1)(n + 1)

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n^2 - 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