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

Last Updated: 21.06.2025 09:51

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.

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n^2 - 1

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

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Move the nub up to the top:

Since the rise of feminism, the dating market has shifted to the disadvantage of men and that is causing this incel phenomenon. Why do women not understand how lonely the majority of men are?

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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

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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n^2 - n + n - 1

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(n - 1)(n + 1)