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

13.06.2025 23:56

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

How do I write a character’s physical description without it feeling unnatural and clunky? I’m able to describe their hair and body relatively easily because my writing puts emphasis on small movements and fidgeting, but I can’t describe faces.

Move the nub up to the top:

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

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

What are the pros and cons of banning homosexuality?

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Will my parents go to hell if I don't wear hijab, they tried to convince me and they provided it to me but I don't want to wear it?

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

n^2 - 1

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

Can you explain the difference between being a conservative Republican and a liberal Democrat? Can you provide some examples of their ideologies?

(n - 1)(n + 1)

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What is treasury?

n^2 - n + n - 1