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

Last Updated: 01.07.2025 08:32

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.

Move the nub up to the top:

Was there any slavery of white people that actually compares to the transatlantic slave trade? I’m not baiting or anything actually genuinely curious and want to know.

n^2 - n + n - 1

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

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Why did Democrats echo that Joe Biden was greater than FDR and should be put on Mt Rushmore? Why did Democrats vote for Biden blindly in the primaries and deny he was mentally impaired? Was it the lying media, or are Democrats ignorant and gullible?

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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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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)

n^2 - 1

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