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

Last Updated: 21.06.2025 07:07

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

Move the nub up to the top:

(n - 1)(n + 1)

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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?

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

Everyone says the pet population is out of control. Everyone says you MUST spay or neuter your pets. No one wants to talk about how its almost $1,000 to spay or neuter a pet. Why is it so expensive if its so necessary? Animal shelters do it for free.

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

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

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n^2 - 1

What is your review of House of the Dragon, season 2, episode 8, "The Queen Who Ever Was"?

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n^2 - n + n - 1

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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