Answer
$2x^2y+15xy+15$
Work Step by Step
Consider the given polynomial
$(5x^2y+9xy+12)+(-3x^2y+6xy+3)$
Need to drop the parentheses.
Thus,
$(5x^2y+9xy+12)+(-3x^2y+6xy+3)=5x^2y+9xy+12+-3x^2y+6xy+3$
or, $=5x^2y-3x^2y+9xy+6xy+12+3$
or, $=2x^2y+15xy+15$