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

13.06.2025 03:17

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

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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

What do you think of the Black history lessons in the PBS documentary about jazz pianist-singer Hazel Scott?

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

(n - 1)(n + 1)

What steps have you taken to stop being a targeted individual by gang stalkers? What has worked, what would you have done differently?

Move the nub up to the top:

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What is unattractive about a nice guy? Why do some women don’t choose nice guys?

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

n^2 - n + n - 1

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

Why do British people always write "xxx" after their names?

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n^2 - 1

What seemingly minor decision or moment in your past ended up having a massive impact on your entire life trajectory?

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