$\text { Determine whether the function } f ( x , y ) = x ^ { 4 } + 2 x ^ { 2 } y ^ { 2 } - 6 y ^ { 3 } \text { is homogeneous and }$

Multiple Choice

$\text { Determine whether the function } f ( x , y ) = x ^ { 4 } + 2 x ^ { 2 } y ^ { 2 } - 6 y ^ { 3 } \text { is homogeneous and }$ determine its degree if it is.

A) homogeneous, the degree is 4
B) homogeneous, the degree is 5
C) not homogeneous
D) homogeneous, the degree is 3
E) homogeneous, the degree is 2