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

14.06.2025 14:13

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

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

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

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

Do you think it is likely that Maegor was presented a young dragon at some point, almost to the point of full-bonding, only to scorn it for Balerion in the end? If so, which one could it have been?

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n^2 - 1

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How do I get fit at home?

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Move the nub up to the top:

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Why do men choose to marry a plain Jane woman over a pretty woman?

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(n - 1)(n + 1)

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Why cant school buses ditch kids who are late to the bus at the school? Like on the way home, if a kid is late when all the others arrived to the bus on time, why cant they leave the late kid behind since its not fair to the on time kids to wait?

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

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

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Why do people turn a blind eye to bad behaviour if someone is very good looking? Whereas if someone is ugly, they get harshly judged for everything?

n^2 - n + n - 1