<p>How do you multiply this out?</p>
<p>(x+1)(x-(1+i)(x-(1-i)</p>
<p>FOIL the factors with conjugates first.</p>
<p>(x-(1+i)(x-(1-i)) = x^2 - (1+i)x - (1-i)x +(1-i^2)
= x^2 -2x + [1 -(-1)]
= x^2 - 2x + 2</p>
<p>Distribute with the other factor
(x+1)(x^2 - 2x + 2) = x^3 - 2x^2 +2x + x^2 - 2x + 2
= x^3 - x^2 + 2</p>