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

08.06.2025 05:03

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

n^2 - n + n - 1

(n - 1)(n + 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

Why do American conservatives say that America is a constitutional republic and not a democracy? Would it not make sense to call America a constitutional republican democracy?

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You found a love potion, and your friend tried to use it on an attractive popular girl, but he accidentally dropped it on the neighbors dog. Now the dog won't stop following him. How would you help him?

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

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Move the nub up to the top:

Do you have any attributes quirks sensitivities abilities etc that you've come to learn most people don't experience? E.g. dream with subtext or experience de ja vu regularly or know you experience life very differently from those around you etc?

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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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Do most narcissists have good intentions as long as you are under their control?

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

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

What are the beliefs of those who think climate change is a conspiracy theory? What do they predict will happen if we do not address it?

n^2 - 1