Step 1 :Given the polynomial \(3 x^{2}+2 x y+5 y^{2}-(-7 x^{2}-2 x y+3 y^{2})\).
Step 2 :Subtract each corresponding term in the second polynomial from the first one.
Step 3 :The simplified polynomial is \(\boxed{10x^{2} + 4xy + 2y^{2}}\).