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

09.06.2025 01:28

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

Move the nub up to the top:

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

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What does it mean when someone is pretending to be me?

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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

n^2 - 1

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n^2 - n + n - 1

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How did the trans issue metastasize within just a decade from being a question of kindness and tolerance to a tiny minority to convulsing a whole society?

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(n - 1)(n + 1)

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

What's the most sordid activity you've ever seen or heard about at a bachelorette party?

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

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

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Orchestral Music: How well synchronised in time do musicians have to be to sound as if they are playing together?

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