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

Last Updated: 16.06.2025 05:18

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

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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

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n^2 - 1

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Do you agree with the characterization of Trump's trial as a "modern day Salem witch trial"? Why or why not?

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

If Donald Trump is so evil and Joe Biden is so good why is Trump the one selflessly providing Bibles for the needy while Biden doesn't? Why doesn't Biden care for America's spiritually needy people as much as Trump?

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

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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Move the nub up to the top:

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

How are Hinduism and Sikhism related, considering they both originated in Punjab, India?

(n - 1)(n + 1)