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

11.06.2025 05:09

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

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(n - 1)(n + 1)

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Are you worried that the 2024 US presidential election will result in a close race?

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

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

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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

Trump always acts like he was forced to be president, that he was chosen by God. Why do we put up with this? This maniac can't focus and get his mind off of being asskissed like an emperor.

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

n^2 - 1

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n^2 - n + n - 1

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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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