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

10.06.2025 08:18

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

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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

How do you take your erotic photos and how do you choose the poses?

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)

What are some examples of a threat to democracy in India?

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Move the nub up to the top:

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Is the Democrat party connected with organized crime in America?

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n^2 - 1

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Why is watching a man and a woman have sex considered perverted? It's how we all got here, it's what we do, I say if you want to watch porn then carry on!

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

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

n^2 - n + n - 1

Why do people immediately disregard subjects such as flat earth, without opening their minds/taking time to research?

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