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

13.06.2025 07:06

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

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

Were there any friendly fire incidents involving American submarines, aircraft carriers, or battleships during World War II or World War I?

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(n - 1)(n + 1)

Do you feel uncomfortable when you come across cross dressers?

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.

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

Why cant I sleep even tho I am sleepy? I am not anxious or worried but my body just doesn't want to. I've been awake for almost 2 days and feel sleepy but I cant sleep. My doctor said its anxiety related but its not. Is this normal?

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Move the nub up to the top:

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Is the water safe to drink in England like here in America or is it necessary to bring tablets to prevent any cholera when in London?

n^2 - n + n - 1

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Why do some guys treat girls so badly?

n^2 - 1