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

Last Updated: 22.06.2025 12:35

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

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n^2 - 1

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

n^2 - n + n - 1

Is it okay if I am not interested to talk to any of my relatives as I saw the real faces in my brother's marriage as none of them helped us rather were a kind of disappointment and were talking bad?

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

Move the nub up to the top:

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

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

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(n - 1)(n + 1)

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How can someone living alone in their own apartment reduce the cost of their electric bills?

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