Answer
$x^{3}-5x^{2}+13x-14$
Work Step by Step
$(x-2)(x^{2}-3x+7)=x(x^{2}-3x+7)-2(x^{2}-3x+7)=(x)(x^{2})+(x)(-3x)+(x)(7)-2(x^{2})-2(-3x)-2(7)=x^{3}-3x^{2}+7x-2x^{2}+6x-14=x^{3}-5x^{2}+13x-14$
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