Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$

Multiple Choice

Calculate $\frac { \mathrm { d } y } { \mathrm {~d} x }$ . You need not expand your answer. $y = \frac { 3 x - 6 } { ( x - 3 ) ( x - 1 ) ( x - 3 ) }$

A) $\frac { 3 ( x - 3 ) ( x - 1 ) ( x - 3 ) - \left( 3 x ^ { 2 } - 14 x + 15 \right) ( 3 x - 6 ) } { ( ( x - 3 ) ( x - 1 ) ( x - 3 ) ) ^ { 2 } }$
B) $\frac { 3 ( x - 3 ) ( x - 1 ) ( x - 3 ) - \left( 3 x ^ { 2 } - 14 x + 15 \right) ( 3 x - 6 ) } { ( x - 3 ) ( x - 1 ) ( x - 3 ) }$
C) $\frac { 3 ( x - 3 ) ( x - 1 ) ( x - 3 ) + \left( 3 x ^ { 2 } - 14 x + 7 \right) ( 3 x - 6 ) } { ( ( x - 3 ) ( x - 1 ) ( x - 3 ) ) ^ { 2 } }$
D) $\frac { 3 ( x - 3 ) ( x - 3 ) - \left( 3 x ^ { 2 } - 14 x + 15 \right) } { ( ( x - 3 ) ( x - 3 ) ) ^ { 2 } }$
E) $\frac { 3 } { 3 x ^ { 2 } - 14 x + 7 }$