Multiply and, if possible, simplify.
-$$\frac { x ^ { 2 } } { x ^ { 2 } - 64 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 5 x }$$
A) $\frac { x } { x + 8 }$
B) $\frac { x } { ( x + 8 ) ( x + 5 ) }$
C) $\frac { x ^ { 2 } } { x + 8 }$
D) $\frac { x } { x - 8 }$

Question

Quizplus · Accepted Answer

First, factorize the given expressions: $\frac{x^2}{(x+8)(x-8)} \cdot \frac{(x-8)(x-5)}{x(x-5)}$. Cancel out the common terms to get $\frac{x}{x+8}$.

Multiply And, If Possible, Simplify x2x2−64⋅x2−13x+40x2−5x\frac { x ^ { 2 } } { x ^ { 2 } - 64 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 5 x }x2−64x2​⋅x2−5xx2−13x+40​

Multiply And, If Possible, Simplify $\frac { x ^ { 2 } } { x ^ { 2 } - 64 } \cdot \frac { x ^ { 2 } - 13 x + 40 } { x ^ { 2 } - 5 x }$