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

13.06.2025 03:10

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

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:

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What was it like being spanked as a kid?

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

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

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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

n^2 - n + n - 1

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What do you think of the 2 female 18 and 19 year-old German tourists, detained in Honolulu, strip-searched, put in green jumpsuits, placed in a holding cell and the next day deported, for the terrible crime of not pre-booking a hotel for their trip?

n^2 - 1

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Move the nub up to the top:

Can they start feeding only one meal to prisoners on death row or those doing a life sentence? Because only then will it be real punishment. If they want extra food they can work or pay from their own pocket.

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How would you spank me if I had been sent home from a school camp because of my poor behavior?

(n - 1)(n + 1)