Find Dy/dx by Implicit Differentiation $x y+x+y=x^{2} y^{2}$ A) $\frac{2 x y^{2}+y}{2 x^{2} y-x}$

Multiple Choice

Find dy/dx by implicit differentiation.
- $x y+x+y=x^{2} y^{2}$

A) $\frac{2 x y^{2}+y}{2 x^{2} y-x}$
B) $\frac{2 x y^{2}+y+1}{-2 x^{2} y-x-1}$
C) $\frac{2 x y^{2}-y-1}{-2 x^{2} y+x+1}$
D) $\frac{2 x y^{2}-y}{2 x^{2} y+x}$