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

Last Updated: 22.06.2025 06:16

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

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How can The Telegraph criticize US debt as a 'danger to the global economy' when the UK government is also drowning in debt?

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

Move the nub up to the top:

n^2 - 1

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(n - 1)(n + 1)

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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Is there a possibility that BTS members will be exposed by "Dispatch" for publicly dating, similar to other K-pop stars who have recently been seen doing so?

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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.

In an interview Donald Trump said Taylor Swift could be a success in the music industry if she was not so liberal. What do you think? Is Trump correct that Swift is failing as a singer and should listen to his advice about her politics?

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n^2 - n + n - 1

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Why are the bands Smashmouth and Nickelback often used as punchlines?

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