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

15.06.2025 02:40

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

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

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Will you share your wife? Can she take both of us at the same time?

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

n^2 - 1

If Republicans say that Biden goes to shower with his daughter, how do Democrats support it?

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What are the coolest new smart home gadgets to upgrade your living space?

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Move the nub up to the top:

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

What are the pros and cons of banning homosexuality?

(n - 1)(n + 1)

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n^2 - n + n - 1

Were knights’ lances practical weapons, or were they just for sports?

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