Answer
$5y^{3}+6y^{2}+15y+18$
Work Step by Step
Using the FOIL method, $(y^{2}+3)(5y+6)=(y^{2})(5y)+(y^{2})(6)+(3)(5y)+(3)(6)=5y^{2+1}+6y^{2}+15y+18=5y^{3}+6y^{2}+15y+18$.
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