Simplify the complex fraction.
-$\frac { \frac { 3 } { a } + 3 } { \frac { 3 } { a } - 3 }$
A) $\frac { 3 ( 1 + a ) } { 1 - a }$
B) $\frac { a ^ { 2 } } { 2 a ^ { 2 } }$
C) $\frac { 1 + a } { 1 - a }$
D) $3 - a ^ { 2 }$

Question

Quizplus · Accepted Answer

To simplify the given complex fraction, we first find a common denominator for the numerator and the denominator, which is $a$. This gives us $\frac{\frac{3 + 3a}{a}}{\frac{3 - 3a}{a}}$. Simplifying further by canceling out $a$ in the numerator and denominator, we get $\frac{3 + 3a}{3 - 3a}$. Factoring out the 3 from both the numerator and the denominator, we get $\frac{3(1 + a)}{3(1 - a)}$, which simplifies to $\frac{1 + a}{1 - a}$.

Simplify the Complex Fraction 3a+33a−3\frac { \frac { 3 } { a } + 3 } { \frac { 3 } { a } - 3 }a3​−3a3​+3​

Simplify the Complex Fraction $\frac { \frac { 3 } { a } + 3 } { \frac { 3 } { a } - 3 }$