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

13.06.2025 01:02

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

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

Is the saying "nice guys finish last" true? Can good intentions always lead to positive outcomes?

(n - 1)(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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n^2 - n + n - 1

n^2 - 1

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Is homosexuality an excommunicable offense in Christianity?

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

Why do people mourn when their leaders lose elections? Is it common for people to cry over events that are out of their control?

Move the nub up to the top:

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

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