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

14.06.2025 04:17

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

(n - 1)(n + 1)

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

n^2 - 1

Why does the UK Labour MP Jess Philips seem to be such a divisive figure?

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What is life without a job?

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

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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

If there exists a “New York of Australia”, is it Sydney or Melbourne?

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What are the most common signs that a partner will cheat before it happens?

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

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

What were some of the unforgettable incidents from your school life?

n^2 - n + n - 1