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

09.06.2025 15:06

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

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.

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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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Why do the Republican city officials at Springfield Ohio continue to deny that immigrants are eating pets to sabotage the Trump campaign, even though immigrant pet-eating is now widely believed to be true?

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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

How many girls or guys keep extra pantyhose in their glove box or console of their vehicle?

n^2 - n + n - 1

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How can I help my cat adjust to sleeping in its own room after allowing it to sleep with us as a kitten?

n^2 - 1

Move the nub up to the top:

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

Which Bibles can one read and be confident they are reading the inerrant word of God?

(n - 1)(n + 1)