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

09.06.2025 13:42

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

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

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 - 1

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

Why does my narcissistic ex told me that he f*cked and sleep with other woman and then at the end says that it also happened because of me?

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

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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

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Why do most atheists in debates with theists take Bible verses out of context much of the time? Are they lying maliciously or do they not understand theology enough to understand the meaning?

n^2 - n + n - 1

Move the nub up to the top:

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(n - 1)(n + 1)