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

13.06.2025 00:43

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

n^2 - n + n - 1

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

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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

n^2 - 1

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Why would Trump make conspiracy claims that Haitians are eating pets in Ohio?

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

Move the nub up to the top:

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What would happen if Kakashi and Naruto switched places?

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

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

I listened to Kamala Harris speech she gave in North Carolina. I support 100% of what she said. I am more and more in favor of a Kamala Harris presidency if Biden becomes unable to be our president! Do you find yourself supporting Kamala Harris now?

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If English makes 3 additional gender terms to accommodate for XXX, XXY, and XYY people, what would be the most realistic terms for those genders?

(n - 1)(n + 1)