Simplify the complex fraction.
-$$\frac { \frac { 5 } { x - 3 } - \frac { 1 } { x + 3 } } { \frac { 3 } { x ^ { 2 } - 9 } }$$
A) $\frac { 4 x + 18 } { 3 \left( x ^ { 2 } - 9 \right) }$
B) $\frac { 4 x + 12 } { 3 }$
C) $\frac { ( 4 x + 18 ) \left( x ^ { 2 } - 9 \right) } { 3 }$
D) $\frac { 4 x + 18 } { 3 }$

Question

Quizplus · Accepted Answer

The numerator simplifies to $\frac{4x + 18}{(x-3)(x+3)}$ and the denominator is $\frac{3}{x^2 - 9}$. Simplifying the complex fraction gives $\frac{4x + 18}{3}$.

Simplify the Complex Fraction 5x−3−1x+33x2−9\frac { \frac { 5 } { x - 3 } - \frac { 1 } { x + 3 } } { \frac { 3 } { x ^ { 2 } - 9 } }x2−93​x−35​−x+31​​

Simplify the Complex Fraction $\frac { \frac { 5 } { x - 3 } - \frac { 1 } { x + 3 } } { \frac { 3 } { x ^ { 2 } - 9 } }$