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

08.06.2025 01:04

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

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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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Why do trans people get so deeply offended when a stranger misgenders them, especially when it's a first encounter? I've been socially transitioned for 4 years and it just feels like a waste of energy to be so hurt by it.

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Move the nub up to the top:

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

(n - 1)(n + 1)

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

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n^2 - 1

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If Trump were to lose in 2024, would that be the end of his grip on the Republican Party?

n^2 - n + n - 1

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

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

When a dog smells another dog’s poo or wee, do they then remember that scent for when they smell it again, or even further know which dog they are smelling if they know the dog?

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