Multiply. Simplify if possible.
-$$\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 11 x + 10 } \cdot \frac { x ^ { 2 } - 9 x + 8 } { x ^ { 2 } - 12 x + 27 }$$
A) $\frac { ( x + 2 ) ( x + 8 ) } { ( x + 10 ) ( x + 9 ) }$
B) $\frac { ( x - 2 ) } { ( x - 9 ) }$
C) $\frac { ( x - 2 ) ( x - 8 ) } { ( x - 10 ) ( x - 9 ) }$
D) $\frac { \left( x ^ { 2 } - 5 x + 6 \right) \left( x ^ { 2 } - 9 x + 8 \right) } { \left( x ^ { 2 } - 11 x + 10 \right) \left( x ^ { 2 } - 12 x + 27 \right) }$

Question

Quizplus · Accepted Answer

First, factor all the quadratic expressions:- $x^2 - 5x + 6 = (x - 2)(x - 3)$- $x^2 - 11x + 10 = (x - 1)(x - 10)$- $x^2 - 9x + 8 = (x - 1)(x - 8)$- $x^2 - 12x + 27 = (x - 3)(x - 9)$Then, simplify the expression by canceling out common factors:$$\frac{(x - 2)(x - 3)}{(x - 1)(x - 10)} \cdot \frac{(x - 1)(x - 8)}{(x - 3)(x - 9)} = \frac{(x - 2)(x - 8)}{(x - 10)(x - 9)}$$

Multiply Simplify If Possible x2−5x+6x2−11x+10⋅x2−9x+8x2−12x+27\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 11 x + 10 } \cdot \frac { x ^ { 2 } - 9 x + 8 } { x ^ { 2 } - 12 x + 27 }x2−11x+10x2−5x+6​⋅x2−12x+27x2−9x+8​

Multiply Simplify If Possible $\frac { x ^ { 2 } - 5 x + 6 } { x ^ { 2 } - 11 x + 10 } \cdot \frac { x ^ { 2 } - 9 x + 8 } { x ^ { 2 } - 12 x + 27 }$