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

Last Updated: 30.06.2025 02:48

Why is (n-1)(n+1)=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

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

My wife found I had been on Pornhub. She considers this adultery and wants a divorce. She hasn't touched me in over 6 years. What should I do?

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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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Why are patients' mouths taped shut during surgery? Is this a common practice in all hospitals or only some? What is the purpose of this practice?

(n - 1)(n + 1)

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

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If a person stops thinking one or two words in a second or half second means he had stopped thinking for half second?

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n^2 - n + n - 1

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What were the first few days, weeks, months and then years like after finding out about your spouses infidelity? How did your feelings, and yours & their approach to the situation change in the immediate aftermath compared to later down the line?

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n^2 - 1

Move the nub up to the top:

What caused the Democratic Party's 2024 presidential campaign to implode so horrifically?

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