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

Last Updated: 18.06.2025 06:23

Why is (n-1)(n+1)=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

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Does the U.S military really prosecute military staff for cheating on their spouse, or do they close one eye if the cheating does not involve other military personnel since adultery is fairly common? Adultery is illegal in U.S military

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

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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

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

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

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n^2 - n + n - 1

n^2 - 1

Move the nub up to the top:

How did my ex move on very fast?

(n - 1)(n + 1)