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

10.06.2025 06:51

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

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n^2 - n + n - 1

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

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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

I have been married for 34 years, and I found out my wife lied, and cheated a lot back before we got married. Does she not change, or is it possible she is still a cheater?

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

(n - 1)(n + 1)

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

n^2 - 1

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My friend asked my crush and he said my crush hates me but not in a rude way. What does that mean?

Move the nub up to the top:

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What was the worst decision you ever did?

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