Simplify.
-$$\frac { \frac { 6 } { a } + 6 } { \frac { 6 } { a } - 6 }$$
A) $\frac { 6 ( 1 + a ) } { 1 - a }$
B) $\frac { 1 + a } { 1 - a }$
C) $6 - a ^ { 2 }$
D) $\frac { a ^ { 2 } } { 6 - a ^ { 2 } }$

Question

Quizplus · Accepted Answer

To simplify the given expression, factor out 6 from the numerator and denominator: $$\frac { 6/a + 6 } { 6/a - 6 } = \frac { 6(1/a + 1) } { 6(1/a - 1) }$$. Simplify further by canceling out the 6 and recognizing that $1/a + 1 = (1+a)/a$ and $1/a - 1 = (1-a)/a$, leading to $\frac { (1 + a) / a } { (1 - a) / a }$, which simplifies to $\frac { 1 + a } { 1 - a }$.

Simplify - 6a+66a−6\frac { \frac { 6 } { a } + 6 } { \frac { 6 } { a } - 6 }a6​−6a6​+6​

Simplify
- $\frac { \frac { 6 } { a } + 6 } { \frac { 6 } { a } - 6 }$