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

13.06.2025 02:21

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

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

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High-Average, Low-Slugging Hitters Are Back, and Baseball Is Better for It - Sports Illustrated

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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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NASA’s Chandra Sees Surprisingly Strong Black Hole Jet at Cosmic “Noon” - NASA (.gov)

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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Are narcissists happy people generally?

(n - 1)(n + 1)

n^2 - n + n - 1

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I feel like my boyfriend doesn't love me. Why?

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

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

Move the nub up to the top:

What Happens to Your Blood Pressure When You Eat Grapefruit Every Day? - Verywell Health

n^2 - 1