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

Last Updated: 20.06.2025 00:14

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

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Move the nub up to the top:

If you lived in South Africa, would you support nuclear power as a solution to the country's energy woes?

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

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

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What are the similarities and differences between the policies of Democrats and Republicans currently?

(n - 1)(n + 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

Why do people say African Americans act the way they do because they're poor, when the ones with money act the same?

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What are some common historical misconceptions?

n^2 - 1

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

I’ve often wondered why fans aren’t deployed on GBBO during warm weather? I’ve seen too many desserts melt (and bakers too…). (I live in Pompano Beach and we try to use fans in lieu of AC as much as possible).

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