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Expand (x+1)(x^2+1)(x-1). What is the sum of the coefficients of the resulting expression?

 Aug 8, 2020
 #1
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When you expand, you get x^4 + x^2 + 1, so the sum of the coefficients is 3.

 Aug 8, 2020
 #2
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@ Guest, not exactaly. Maybe you made a mistake in expanding.

 

We know that (x+1)(x-1) is x^2-1, because of difference of squares. (x^2-1)(x^2+1) is difference of squares, yet again, so this is x^4-1.

 

I'm not sure if you count constants as expressions or not. If so, then it is 0, if not, then it is 1. 

 Aug 8, 2020

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