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

Last Updated: 19.06.2025 03:11

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

n^2 - n + n - 1

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 stop having work crushes because I only keep getting disappointed almost every day as I keep seeing they don’t like me back and won’t ever ask me out?

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

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It is common sense that Joe Biden is ruining America and is unfit to be president, but why are the liberals still supporting him when Trump is obviously a much better fit for office?

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What 10 things have you stopped doing in your life?

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n^2 - 1

(n - 1)(n + 1)

Do you think a lot of sociopaths' parents kill themselves for having brought such disgusting evil into the world? How much shame and disgust must they carry?

Move the nub up to the top:

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

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

Why is there no great temptress figure in any of Tolkien’s major works?

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