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

Last Updated: 27.06.2025 04:04

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

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

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n^2 - n + n - 1

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Move the nub up to the top:

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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

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

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Why did Mark Lane harass Helen Markham during an illegally recorded telephone conversation to misidentify Lee Harvey Oswald who she witnessed as the shooter of Tippit?

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

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(n - 1)(n + 1)

What were Hitler’s habits?

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n^2 - 1

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What is the happy reality of our generation?

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