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

15.06.2025 09:36

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

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

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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What does it mean when a guy says he doesn't want to ruin the friendship? Is he rejecting me or is there another explanation? Why would a guy choose not to risk the friendship if he has feelings for me?

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

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What is one thing which you cannot stop however hard you try?

Move the nub up to the top:

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Why are leftist movements so popular among young people?

(n - 1)(n + 1)

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

What's the most incredible coincidence that ever happened to you?

n^2 - 1

n^2 - n + n - 1

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I broke up with my boyfriend because he wasn’t transparent about his past, it hurts me and he doesn’t care. I told him in the beginning of our relationship that it was a deal breaker for me what do I do?

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