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

Last Updated: 21.06.2025 00:08

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

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n^2 - n + n - 1

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Why are so many US conservatives in this day and age still against racial mixing? They won't say it in public, but they are still against the mixing between Blacks and whites? Why?

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

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

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(n - 1)(n + 1)

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n^2 - 1

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

Why aren't U.S. prisons more like Marine Corps boot camp, were every second of the day there are mandatory activities so that at night everyone is so tired they go to sleep until wakeup at 5:30 am? Would this make prisons safer for all?

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

Move the nub up to the top:

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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