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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
2 years, 8 months 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 · 2 years, 8 months ago

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What makes you post this, \(\textbf{Mr. TrollKing}\) ? Aditya Raut · 2 years, 8 months ago

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@Aditya Raut I thought it was interesting to pair up the factors in two ways. It seemed interesting to me :) Cody Johnson · 2 years, 8 months ago

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@Cody Johnson Yeah great, that is cool.,. Aditya Raut · 2 years, 8 months 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, 2 months ago

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Yes its 1-x^6 Usama Khidir · 2 years, 8 months ago

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1-x^3 Ankit Roy Choudhury · 2 years, 8 months ago

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@Ankit Roy Choudhury sorry, 1-x^6 Ankit Roy Choudhury · 2 years, 8 months ago

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