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

Last Updated: 21.06.2025 03:46

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

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

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

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

Why are Indians so influenced by the Western culture, when the Indian tradition has so much to give?

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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

Why does the God of the Bible condemn homosexual acts?

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

Move the nub up to the top:

What do flat earthers think about Antarctica?

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What kind of person makes you think "how come there are people like that"?

(n - 1)(n + 1)

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n^2 - n + n - 1

How do police officers feel about the fear they instill into criminals?

n^2 - 1