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

Last Updated: 18.06.2025 02:22

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

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

n^2 - n + n - 1

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What have I done wrong? How can I start over?

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

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When have you been in an accident where the other person involved blatantly lied to the police about what transpired?

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

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

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Why are men obsessed with breasts and their size? I don't quite see women being obsessed with the penis - Why is this so?

Move the nub up to the top:

n^2 - 1

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Do you think Japan will have same-sex marriage by 2030?

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(n - 1)(n + 1)

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How did the Nazis figure out whether a person or community is 'Aryan' or not?

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