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

15.06.2025 10:06

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

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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If a narcissist can't feel remorse, can they ever feel regret for an evil act after going to rehab?

n^2 - 1

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Why do people say "tall, dark, and handsome" when they actually mean "tall, white, and handsome"?

n^2 - n + n - 1

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

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

Can it be true that people know your name, not your story, they’ve heard what you’ve done, but not what you’ve been through, so take their opinions of you with a grain of salt?

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

Move the nub up to the top:

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How do I know if I am a bitch? I try to be a nice person but people often jokingly call me a bitch. My family calls me a bitch sometimes too.

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

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What are the ten cars that make me no longer feel inferior?

(n - 1)(n + 1)