Divide as indicated.
-$$\frac { 3 x - 3 } { x } \div \frac { 4 x - 4 } { 2 x ^ { 2 } }$$
A) $\frac { 6 x ^ { 3 } - 6 x ^ { 2 } } { 4 x ^ { 2 } - 4 x }$
B) $\frac { 3 x } { 2 }$
C) $\frac { 2 } { 3 x }$
D) $\frac { 12 x ^ { 2 } + 24 x + 12 } { 2 x ^ { 3 } }$

Question

Quizplus · Accepted Answer

To divide the given fractions, you multiply the first fraction by the reciprocal of the second. Simplify $\frac { 3 x - 3 } { x } \div \frac { 4 x - 4 } { 2 x ^ { 2 } }$ to $\frac { 3 x - 3 } { x } \cdot \frac { 2 x ^ { 2 } } { 4 x - 4 }$. Factor out the common terms to get $\frac { 3(x - 1) } { x } \cdot \frac { 2x^2 } { 4(x - 1) }$. Simplifying further gives $\frac { 3 } { 2 }$, since the $x$ and $x - 1$ terms cancel out, leaving $\frac { 3 x } { 2 }$.

Divide as Indicated 3x−3x÷4x−42x2\frac { 3 x - 3 } { x } \div \frac { 4 x - 4 } { 2 x ^ { 2 } }x3x−3​÷2x24x−4​

Divide as Indicated $\frac { 3 x - 3 } { x } \div \frac { 4 x - 4 } { 2 x ^ { 2 } }$