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

13.06.2025 00:36

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

Move the nub up to the top:

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

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

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n^2 - 1

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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

n^2 - n + n - 1

Do you ever feel like you are doing good, but would do better if people hadn’t blamed you or even bothered you? I have gotten lonely, but I always am up to something (creating my destiny).

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

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Why does my crush always looks at me in a sad way whenever I talk with other boys, and if he catch me staring on him then he go and flirt with other girls and then check if I am looking at him?

(n - 1)(n + 1)

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

A kid threw a stone at my car. I confronted his mom (who was nearby). She said, "You can't prove it was my son." How should I have reacted?

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