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

08.06.2025 03:02

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

n^2 - n + n - 1

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Move the nub up to the top:

My religion teacher said that there are no atheists because in order to reject God, you must first have a concept of God, and if you have a concept of God, you are not an atheist. In what way is this true, if at all? Why?

n^2 - 1

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

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

I have been married for 34 years, and I found out my wife lied, and cheated a lot back before we got married. Does she not change, or is it possible she is still a cheater?

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

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Why do so many people seem to hate Nickelback? They're competent and entertaining, and while they certainly aren't the absolute best music, they're still a fun listen.

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Ryan Lochte’s wife Kayla reveals ‘painful’ divorce after seven years of marriage - New York Post

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

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Have you ever lied to your family? What were the circumstances?

(n - 1)(n + 1)