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

Last Updated: 23.06.2025 20:12

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

Do opposites attract? How often do you see weird couples like a guy/girl dating someone who is boring with no sense of humor ?

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

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

Boris Johnson says that “Starmer picked a fraudster for his Cabinet because he is the fraudster-in-chief. And he knows, in his heart, that the whole government is a fraud.” Do you agree with Boris Johnson about Starmer?

(n - 1)(n + 1)

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

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Why do liberals and Democrats think it’s “ironic” for Donald Trump to say “We have to get back to law and order”?

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

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Stocks to Open Flat as Trade Pact Details Awaited: Markets Wrap - Bloomberg

n^2 - n + n - 1

n^2 - 1

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Move the nub up to the top: