Answer
$3x^{3}-8x^{2}+13x-6$
Work Step by Step
Distribute:
$(3x-2)(x^{2}-2x+3)=3x(x^{2}-2x+3)-2(x^{2}-2x+3)$
... distribute
$=3x^{3}-6x^{2}+9x-2x^{2}+4x-6$
... gather like terms, simplify
$=3x^{3}-8x^{2}+13x-6$
this is the standard form, with terms listed from the highest power of x to the lowest.
