Answer
$F'(x)=99(1+x+x^{2})^{98}(1+2x)$
Work Step by Step
$F(x)=(1+x+x^{2})^{99}$
Differentiate using the chain rule:
$F'(x)=99(1+x+x^{2})^{98}(1+x+x^{2})'=...$
$...=99(1+x+x^{2})^{98}(1+2x)$
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