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

15.06.2025 04:56

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

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

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

Why does Africa have all mineral resources but she is suffering economically?

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What is the reasoning behind conspiracy theorists claiming that there were multiple shooters involved in the JFK assassination?

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n^2 - n + n - 1

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Are you struggling with weight loss and finding it hard to stay consistent? What’s your biggest challenge when trying to lose weight at home?

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

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Why cant I breathe when I sleep on my back, I can breathe if im on my side or stomach but I feel uncomfortable since either my neck is twisted or my back is in pain, im physically healthy and my surroundings are clean so whats the problem?

(n - 1)(n + 1)

n^2 - 1

Move the nub up to the top:

Why do so many people suddenly think it's acceptable to continue to live with their parents into adulthood?

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