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

Last Updated: 23.06.2025 06:40

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

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

Why have feminists not demanded that females be required to register with the selective service? Are female lives more precious than male lives?

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

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^2 - 1

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

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Move the nub up to the top:

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(n - 1)(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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n^2 - n + n - 1