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

10.06.2025 09:04

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

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(n - 1)(n + 1)

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Move the nub up to the top:

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

What is the most sentimental item you inherited from someone dear to you and what does it mean to you?

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 - n + n - 1

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

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Does the pro-choice movement realise that all the money used to subside abortions can be used to subsidize daycare and other financial support for single mothers with unplanned pregnancies?

n^2 - 1