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

Last Updated: 24.06.2025 04:21

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

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n^2 - 1

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Why were the Japanese soldiers in WW II so hesitant to surrender in battle?

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

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n^2 - n + n - 1

Why do very skinny girls get more male attention if it is true that men like curves?

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

(n - 1)(n + 1)

Move the nub up to the top:

How do you think Donald Trump will respond to Volodymyr Zelenskyy's statement that Ukraine will consider nuclear weapons if it does not get NATO membership?

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