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

Last Updated: 21.06.2025 07:40

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

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Why are people adopting DeepSeek's AI when its answers are so obviously biased toward the Chinese worldview propaganda?

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

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

My dog is 2 weeks old. He's not eating, moving and always sleeping and I can't take him to a vet. What should I do?

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

(n - 1)(n + 1)

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

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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

Can you wash a dog with washing liquid used for humans?

n^2 - 1

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n^2 - n + n - 1

If nobody will hire me, should I turn to crime to pursue a career in programming? I ask because if there's no legal entry-level jobs due to the oversaturation, I might have to go underground for it.

Move the nub up to the top: