Answer:
The correct option is option (D).
f(x,y)=2x²+xy+y²
Explanation:
Given that,


x+y) 2x³ + 3x²y + 2xy² + y³ ( 2x²+xy+y²
2x³ +2x²y
- -
________________________
x²y + 2xy² + y³
x²y + xy²
- -
_________________________
xy² + y³
xy² + y³
- -
________________________
×
Therefore f(x,y)=2x²+xy+y²