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

13.06.2025 04:57

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

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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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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(n - 1)(n + 1)

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

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How do I get a white man for a serious relationship?

Move the nub up to the top:

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

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n^2 - 1

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Isn't it great that we have an incoming president who is embracing ideas from the past like manifest destiny? Isn't it greater that Trump is willing to get us more territory and land?

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n^2 - n + n - 1

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Do snipers lay on top of tank turrets during combat?

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