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

15.06.2025 17:17

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

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

Im not transphobic/homophobic but, am I in the wrong for being uncomfortable when a trans person comes into the lockeroom? I just dont want them to stare at me while Im changing.

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

Move the nub up to the top:

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n^2 - n + n - 1

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Why would a man be interested in an ordinary woman while there are very beautiful and fabulous women?

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

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

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n^2 - 1

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

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What are some things that normal people do that religious people call sins?

(n - 1)(n + 1)