Perform the indicated operations and simplify the result. Leave the answer in factored form.
-$$\frac { 6 x - 6 } { x } \div \frac { 8 x - 8 } { 6 x ^ { 2 } }$$
A) $\frac { 9 x } { 2 }$
B) $\frac { 48 ( x + 1 ) ^ { 2 } } { 6 x ^ { 3 } }$
C) $\frac { 36 x ^ { 2 } ( x - 1 ) } { 8 x ( x - 1 ) }$
D) $\frac { 2 } { 9 x }$

Question

Quizplus · Accepted Answer

Dividing by a fraction is equivalent to multiplying by its reciprocal. Simplify the given expression: $\frac { 6 x - 6 } { x } \div \frac { 8 x - 8 } { 6 x ^ { 2 } } = \frac { 6 x - 6 } { x } \cdot \frac { 6 x ^ { 2 } } { 8 x - 8 }$. Factoring out the common factors, we get: $\frac { 6(x - 1) } { x } \cdot \frac { 6x^2 } { 8(x - 1) }$. Simplifying further, we get: $\frac { 9x } { 2 }$.

Perform the Indicated Operations and Simplify the Result 6x−6x÷8x−86x2\frac { 6 x - 6 } { x } \div \frac { 8 x - 8 } { 6 x ^ { 2 } }x6x−6​÷6x28x−8​

Perform the Indicated Operations and Simplify the Result $\frac { 6 x - 6 } { x } \div \frac { 8 x - 8 } { 6 x ^ { 2 } }$