Factor Completely Using the Grouping Method to Factor Trinomials $$25 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }$$

Multiple Choice

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.
- $$25 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }$$

A) $x y ^ { 4 } ( 5 x + 3 y ) ( 5 x + 4 y )$
B) $x \left( 5 x y ^ { 4 } + 3 y ^ { 5 } \right) ( 5 x + 4 y )$
C) $y ^ { 4 } ( 5 x + 3 y ) \left( 5 x ^ { 2 } + 4 x y \right)$
D) prime