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

10.06.2025 06:00

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

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n^2 - n + n - 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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n^2 - 1

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

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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How do I confess to my crush who had a traumatic past with his previous partner without losing the friendship?

Move the nub up to the top:

(n - 1)(n + 1)

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If atheists are so positive that there is no God, where is their proof that He does not exist?

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

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If everyone in Russia dropped into holes in the ground only never to return, would that be good for NATO and international peacekeepers? Can we convince Russians to be less diabolical, so they coexist? Does Putin stink like doo doo in the commode?

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