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

13.06.2025 19:07

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

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n^2 - 1

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The world of the Harry Potter series is usually considered bad worldbuilding. What are some examples of actually good worldbuilding in the books/movies?

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(n - 1)(n + 1)

What causes tension between liberals and conservatives? Is it purely based on ideological differences or are there other factors at play?

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What do you think is the most powerful line in the song "Non, Je Ne Regrette Rien" by Édith Piaf?

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

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

n^2 - n + n - 1

Latest WA shipping and tourism numbers tell a depressing story - The Seattle Times

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.

Move the nub up to the top:

What is the most heartbreaking thing your child has told you?

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