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

14.06.2025 00:30

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

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

n^2 - n + n - 1

Why are there no fossils for the 'missing link' that connects our ancestors with other species? Is this a misconception or is there another explanation?

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

New species of dinosaur discovered that 'rewrites' T.rex family tree - BBC

Move the nub up to the top:

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

What does it mean if someone asks if it’s pink?

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

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If my lovely sister sleeps with my boyfriend, what should I do about her?

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(n - 1)(n + 1)

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

Isn’t freedom of speech and expression an absolute right?

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