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

13.06.2025 03:42

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

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

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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(n - 1)(n + 1)

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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

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n^2 - n + n - 1

n^2 - 1

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Move the nub up to the top:

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

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