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

Last Updated: 17.06.2025 00:43

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

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

(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

What does it feel like to "lose your looks" to age?

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n^2 - n + n - 1

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What are tips for weight loss?

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

xxx x

xxx

What are the major security challenges facing India, both domestically and internationally, and how does the government address them?

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n^2 - 1

Move the nub up to the top:

Has your wife or girlfriend ever been felt up in public by a stranger?

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

xxx

xxx x

How much stronger is an average man than an average woman?

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