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

Last Updated: 18.06.2025 02:45

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

n^2 - n + n - 1

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

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How do Greeks identify themselves in terms of civilization? Do they feel more connected to Western or Middle Eastern civilization and why?

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Why do US military soldiers/officers have a chest full of medal ribbons when they probably haven't been in a combat situation? Are the medals for attendance, good behaviour, or long service perhaps?

n^2 - 1

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

Why are people of mixed race seen as more attractive than non-mixed-race people?

Move the nub up to the top:

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

Time (physics): Who started counting our current time or is it just "set" by some scientific measure?

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(n - 1)(n + 1)

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