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

Last Updated: 16.06.2025 05:33

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

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

What is the scariest thing that ever happened in your life?

(n - 1)(n + 1)

n^2 - n + n - 1

n^2 - 1

When have you been in an accident where the other person involved blatantly lied to the police about what transpired?

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

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What role did China play in the signing of the "Beijing Declaration" between Fatah and Hamas? What other information is worth noting for talks among Palestinian factions in Beijing?

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Move the nub up to the top:

Why do people still think Michael Jackson was guilty?

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

It is common sense that Joe Biden is ruining America and is unfit to be president, but why are the liberals still supporting him when Trump is obviously a much better fit for office?

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