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

Last Updated: 22.06.2025 01:25

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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n^2 - n + n - 1

n^2 - 1

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

There was this one weird Bollywood movie that was released in the 2000s. Amitabh Bachchan was starring with another actress and the story was about how the old guy (Amitabh Bachchan) fell in love with the young woman. What is the name of this movie?

(n - 1)(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

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When are the gas prices supposed to go up? Just asking because I was told by "educated" liberals that they were going to go throught the roof, but all I see are prices going down, especially in my home state of Ohio!!!

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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

Move the nub up to the top:

The Roman Empire at the time of Christ kept meticulous records. Why then, is there no record of the trial of Jesus?

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