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

08.06.2025 12:04

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

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

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Why is the First Amendment referred to as a right to free speech instead of an immunity from punishment for one's words, regardless of their truthfulness?

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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

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My parents force me (15yo atheist) to go to church, and there’s this thing called Small Sundays where we discuss the Bible in groups, there are questions asked about the Bible. What am I supposed to do when they ask?

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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n^2 - n + n - 1

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

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Why do subpar women think that they are nines and tens?

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

n^2 - 1

(n - 1)(n + 1)

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Move the nub up to the top: