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

Last Updated: 23.06.2025 02:39

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.

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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

What explanations do flat earthers have for the shape of our planet? If they do not have any, why should their opinions on this topic be considered credible?

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

n^2 - 1

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How did you cope when someone you love, dealing with hyper-independence and trauma, felt they needed space to heal alone? Were you able to support them without overstepping, and did you eventually reconnect? How did that journey unfold?

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n^2 - n + n - 1

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Move the nub up to the top:

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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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(n - 1)(n + 1)

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