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A Small Problem I Made

Can you do this problem in under one minute?

If \(f(x)=(x+1)(x^2+x+1)\), expand \(f(x)f(-x)\).

There's a nice trick here that I made

Note by Cody Johnson
3 years, 1 month ago

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Doesn't it turn into \((x^3+1)(1-x^3)\) so it's basically just \(1-x^6\)

Daniel Liu - 3 years, 1 month ago

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What makes you post this, \(\textbf{Mr. TrollKing}\) ?

Aditya Raut - 3 years ago

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I thought it was interesting to pair up the factors in two ways. It seemed interesting to me :)

Cody Johnson - 3 years ago

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Yeah great, that is cool.,.

Aditya Raut - 3 years ago

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Nice! 1 - x^6 is that correct? Don't know if I made within 60 s or 100 s, but I think I used the trick you are referring to.

Andrea Palma - 2 years, 7 months ago

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Yes its 1-x^6

Usama Khidir - 3 years ago

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1-x^3

Ankit Roy Choudhury - 3 years ago

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sorry, 1-x^6

Ankit Roy Choudhury - 3 years ago

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