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

15.06.2025 05:12

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

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

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Move the nub up to the top:

What is the worst name in Tolkien’s legendarium (meaning and look)?

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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n^2 - n + n - 1

Have you ever heard of the god Priapus being the same as the god Phosphorus?

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

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(n - 1)(n + 1)

Is Jesus God almighty?

n^2 - 1

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These glowing axolotls may hold the secret to human limb regeneration - The Washington Post

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

Why do atheists always argue about the existence of suffering in the world as meaning God doesn't exist when it doesn't prove anything?

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