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

10.06.2025 13:19

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

n^2 - n + n - 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

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

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

How many of you have had your parental rights taken away because of lies and no truth whatsoever, and did you prove the lies that were told about you to be false either through drug testing or another way, but still had your rights taken?

Move the nub up to the top:

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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

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

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(n - 1)(n + 1)

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n^2 - 1

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