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

13.06.2025 05:39

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

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

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When North Koreans visit other countries for the Olympics, what stops some of them fleeing away into that host country?

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

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

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

(n - 1)(n + 1)

My wife has a bunch of really attractive friends, and she expects me to never say anything to her about how beautiful they are. Does this seem fair? I love my wife, and just commenting shouldn’t hurt anything, right?

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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

Why does monistat lose effectiveness over time for individuals with chronic or recurrent vaginosis or yeast infections?

Move the nub up to the top:

n^2 - 1

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How do individuals become targeted individuals? Is it solely due to experiencing stalking or harassment, or are there other factors involved?

n^2 - n + n - 1