Simplify the rational expression. $\frac { 44 x ^ { 3 } z } { - 48 x y z ^ { 2 } }$
A) $\frac { 11 x ^ { 2 } } { 12 z }$
B) $- \frac { 44 x } { 48 y z }$
C) $- \frac { 11 x ^ { 2 } } { 12 y z }$
D) $\frac { x ^ { 2 } } { 4 y z }$

Question

Quizplus · Accepted Answer

First, simplify the coefficients by dividing both by their greatest common divisor, which is 4, to get $\frac{11}{-12}$. Then, simplify the variables: $x^3/x = x^2$ and $z/z^2 = 1/z$. The $y$ in the denominator remains unchanged. Combining these gives $- \frac { 11 x ^ { 2 } } { 12 y z }$.

Simplify the Rational Expression 44x3z−48xyz2\frac { 44 x ^ { 3 } z } { - 48 x y z ^ { 2 } }−48xyz244x3z​

Simplify the Rational Expression $\frac { 44 x ^ { 3 } z } { - 48 x y z ^ { 2 } }$