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

08.06.2025 00:00

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

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n^2 - n + n - 1

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

What happens if someone fills up their car at the pump but leaves without paying? How is this situation typically handled?

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(n - 1)(n + 1)

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 "flat-earthers" attempt to sail around the world to prove their theory? Would this support their belief in a flat Earth?

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What are some effective strategies for getting more upvotes on Quora?

Move the nub up to the top:

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

High-Average, Low-Slugging Hitters Are Back, and Baseball Is Better for It - Sports Illustrated

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

n^2 - 1

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

My parents force me (15yo atheist) to go to church, and there’s this thing called Small Sundays where we discuss the Bible in groups, there are questions asked about the Bible. What am I supposed to do when they ask?

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