Multiply as indicated.
-$$\frac { 6 x - 6 } { x } \cdot \frac { 9 x ^ { 2 } } { 8 x - 8 }$$
A) $\frac { 48 x ^ { 2 } + 96 x + 48 } { 9 x ^ { 3 } }$
B) $\frac { 27 x } { 4 }$
C) $\frac { 54 x ^ { 3 } - 54 x ^ { 2 } } { 8 x ^ { 2 } - 8 x }$
D) $\frac { 4 } { 27 x }$

Question

Quizplus · Accepted Answer

First, simplify each fraction by factoring out common terms: $\frac{6(x-1)}{x} \cdot \frac{9x^2}{8(x-1)}$. Then, cancel out the common terms (x-1) and x (where x ≠ 0) to get $\frac{6 \cdot 9x}{8}$, which simplifies to $\frac{54x}{8}$ or $\frac{27x}{4}$.

Multiply as Indicated 6x−6x⋅9x28x−8\frac { 6 x - 6 } { x } \cdot \frac { 9 x ^ { 2 } } { 8 x - 8 }x6x−6​⋅8x−89x2​

Multiply as Indicated $\frac { 6 x - 6 } { x } \cdot \frac { 9 x ^ { 2 } } { 8 x - 8 }$