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

11.06.2025 00:02

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

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Listen to the eerie sounds of Mars recorded by a NASA rover - Mashable

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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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EA's cancelled Black Panther game would have featured an evolved take on Shadow of Mordor's Nemesis System - Eurogamer

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

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Move the nub up to the top:

What disgusts you?

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

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

n^2 - 1

What symptoms did you notice before being diagnosed with cancer?

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

n^2 - n + n - 1

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Disney lays off hundreds of employees across film, TV and other units - CBS News

(n - 1)(n + 1)