Multiply and simplify.
-$$\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 17 x + 60 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 9 x + 14 }$$
A) $\frac { ( x - 3 ) ( x - 8 ) } { ( x - 12 ) ( x - 7 ) }$
B) $\frac { \left( x ^ { 2 } - 5 x + 6 \right) \left( x ^ { 2 } - 13 x + 40 \right) } { \left( x ^ { 2 } - 17 x + 60 \right) \left( x ^ { 2 } - 9 x + 14 \right) }$
C) $\frac { ( x + 3 ) ( x + 8 ) } { ( x + 12 ) ( x + 7 ) }$
D) $\frac { ( x - 3 ) } { ( x - 7 ) }$

Question

Quizplus · Accepted Answer

Explanation:Factor the numerators and denominators.$$\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 17 x + 60 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 9 x + 14 }$$$= \frac { ( x - 3 ) ( x - 2 ) } { ( x - 12 ) ( x - 5 ) } \cdot \frac { ( x - 8 ) ( x - 5 ) } { ( x - 7 ) ( x - 2 ) }$$= \frac { ( x - 3 ) ( x - 8 ) } { ( x - 12 ) ( x - 7 ) }$

Multiply and Simplify x2−5x+6x2−17x+60⋅x2−13x+40x2−9x+14\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 17 x + 60 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 9 x + 14 }x2−17x+60x2−5x+6​⋅x2−9x+14x2−13x+40​

Multiply and Simplify $\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 17 x + 60 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 9 x + 14 }$