Answer
$-x^{2}+4xy+9$
Work Step by Step
We are given the expression $3(xy-2)+xy+15-x^{2}$.
We can use the distributive property and then group like terms to simplify.
$3\times(xy-2)+xy+15-x^{2}=3xy-6+xy+15-x^{2}$
$=(-x^{2})+(3xy+xy)+(15-6)=-x^{2}+4xy+9$
