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

16.06.2025 00:11

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

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Move the nub up to the top:

The Labour Party wants to put the Winter fuel allowance and the £800,000 of gifts received by ministers behind us. Is this a real option for the people who will suffer as our new masters unapologeticly feast on freebies?

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(n - 1)(n + 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

I’m worried I have a bat bite on my hand, I have two small marks about 1 cm apart. I haven’t been in contact with a bat but I’m worried about at night. My fingers have a slight tingling sensation and my arm feels cold but isn’t. Am I ok?

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

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

How can I stop drinking?

n^2 - n + n - 1

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

n^2 - 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