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

14.06.2025 05:17

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

(n - 1)(n + 1)

n^2 - 1

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

What is love?

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

Have you ever had a bad gut feeling about someone and it was right?

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Why is it rare for someone to despise both the Democrats and Republicans?

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

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

Why can't flat-Earthers create an agency like NASA to explore Earth to prove it is flat? What's preventing them from doing so?

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n^2 - n + n - 1

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Why are people with Asperger syndrome unenthusiastic?

Move the nub up to the top: