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

12.06.2025 00:10

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

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

When was the last time you had sex with someone much older than yourself?

(n - 1)(n + 1)

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

Move the nub up to the top:

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

n^2 - n + n - 1

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Why do I smell bad even though I have good hygiene?

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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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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Why do atheists love to preach against Abrahamic religions and mock God? Even if they do not fear the eternal fire of hell, pious Muslims will certainly not leave them alone and will take brutal revenge until they surrender and repent of their sins.

n^2 - 1