Multiply and, if possible, simplify.
-$$\frac { x ^ { 2 } } { x ^ { 2 } - 4 } \cdot \frac { x ^ { 2 } - 11 x + 18 } { x ^ { 2 } - 9 x }$$
A) $\frac { x } { x + 2 }$
B) $\frac { x } { x - 2 }$
C) $\frac { x } { ( x + 2 ) ( x + 9 ) }$
D) $\frac { x ^ { 2 } } { x + 2 }$

Question

Quizplus · Accepted Answer

First, factorize the given expressions: $\frac{x^2}{(x+2)(x-2)} \cdot \frac{(x-9)(x-2)}{x(x-9)}$. Cancel out common factors (x-2) and (x-9), resulting in $\frac{x}{x+2}$.

Multiply And, If Possible, Simplify x2x2−4⋅x2−11x+18x2−9x\frac { x ^ { 2 } } { x ^ { 2 } - 4 } \cdot \frac { x ^ { 2 } - 11 x + 18 } { x ^ { 2 } - 9 x }x2−4x2​⋅x2−9xx2−11x+18​

Multiply And, If Possible, Simplify $\frac { x ^ { 2 } } { x ^ { 2 } - 4 } \cdot \frac { x ^ { 2 } - 11 x + 18 } { x ^ { 2 } - 9 x }$