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

Last Updated: 24.06.2025 14:30

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

Move the nub up to the top:

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

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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

(n - 1)(n + 1)

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

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n^2 - n + n - 1

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

n^2 - 1

During the Atlmark incident in 1940, the Brit war criminals violated Norwegian neutrality. Hitler could then justify invading Norway. Have the Brits ever apologized for violating Norwegian neutrality?

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2