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

Last Updated: 21.06.2025 05:59

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

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

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n^2 - n + n - 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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So, that’s a rectangle with sides 2 and 4.

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(n - 1)(n + 1)

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n^2 - 1

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 so many men on the internet try to compete with women, or try to "humble" and bash them? There's so many videos across my tiktok and YouTube of men claiming how they're wanting to get back at women and put them in thier place.

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Move the nub up to the top:

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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