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

08.06.2025 01:51

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

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

n^2 - n + n - 1

What are some possible reasons for an unfaithful spouse to not confess their affair to their partner and instead end it without telling them?

(n - 1)(n + 1)

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Finance leaders fear destructive U.S. debt scenario - Axios

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

Move the nub up to the top:

‘Amazing Worlds of Science Fiction and Science Fact’ Review: An Education in Exoplanets - WSJ

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n^2 - 1

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What is better, 4 more years of Trump with the media trying to hurt him, or 8 years of DeSantis with the media licking booty, or 4 to 8 years of RFK with the media hating on him all the time? (Biden is not an option, he can't win)

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

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Why were the Japanese soldiers in WW II so hesitant to surrender in battle?

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