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

Last Updated: 18.06.2025 01:54

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

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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

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Do you think your landlord should have a key to your room?

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

(n - 1)(n + 1)

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What’s the saddest thing you’ve seen at your job?

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

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Why are most people broke?

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n^2 - n + n - 1

n^2 - 1

What do men find attractive in an older woman?

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 does it mean when we dream about demons, ghosts, monsters, etc.?

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