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

Last Updated: 18.06.2025 01:47

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

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

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

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Why do people say African Americans act the way they do because they're poor, when the ones with money act the same?

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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

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

What made you recently say to yourself, “Wait. Really?”

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Why does it seem that Quora's "moderators" base their moderations on personal beliefs and views by deleting answers that are only violating their personal feelings?

(n - 1)(n + 1)

n^2 - n + n - 1

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I dreamt my mother had died and I cried so much in my dream. What does it mean?

Move the nub up to the top:

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

What do feminists mean when they say they want to ‘normalize’ menstruation and its discussion?

n^2 - 1