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

13.06.2025 05:50

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

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What is world history that not many people know about?

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

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

n^2 - 1

Overthinking is killing me day-by-day. What should I do?

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

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

What is the boldest and craziest thing your mother has ever done for you?

Move the nub up to the top:

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n^2 - n + n - 1

If you’re an atheist, what would be your motive in spreading atheism, and why would you care what others believe?

(n - 1)(n + 1)