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

11.06.2025 01:14

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

n^2 - 1

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n^2 - n + n - 1

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(n - 1)(n + 1)

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What are some possible reasons for an unfaithful spouse to not confess their affair to their partner and instead end it without telling them?

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

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

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What are some funny stories of people calling 911 for non-emergencies?

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Move the nub up to the top:

What's your review of "The Queen Who Ever Was," Episode 8 of Season 2 of 'House of the Dragon' (spoilers)?

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

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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