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

Last Updated: 21.06.2025 00:20

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

n^2 - 1

Why does my cat get anxious during loud noises like thunderstorms or firework displays? Is this a common behavior for cats, and is there a way to help them cope with it?

n^2 - n + 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

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

Can you share 100 facts about yourself?

Move the nub up to the top:

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

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

Ok, so this is a question seeking an answer to clear up whatever gymnastics are in my head. I'm a moderately attractive guy, sincere heart, genuinely looking to love another, established. Why don't women that I'm attracted to, want me back?

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Im happy but there is a heavy feeling of sadness in my heart that I just can't remove. Why am I like this?

(n - 1)(n + 1)

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I found out I have cancer—I have not told my family. We can’t afford the treatment anyway. Should I just say nothing and let nature take its course?

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