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

13.06.2025 05:59

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

n^2 - n + n - 1

n^2 - 1

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How far does good behavior take you in a prison?

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

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(n - 1)(n + 1)

What is the difference between the Bible and the Qur'an?

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

What’s the best way to get over someone you love?

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

What nonsense did you hear today in India that made you laugh?

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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Move the nub up to the top:

Was Daenerys' downfall inevitable after she left Meereen in Game of Thrones?

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