Answer
$-6a^{4}+4a^{3}-6a^{2}$
Work Step by Step
$-2a^{2}(3a^{2}-2a+3)=(-2a^{2})(3a^{2})+(-2a^{2})(-2a)+(-2a^{2})(3)=(-6a^{2+2})+4a^{2+1}+(-6a^{2})=(-6a^{4})+4a^{3}+(-6a^{2})=-6a^{4}+4a^{3}-6a^{2}$
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