Perform the indicated operations. $$\frac { x ^ { 2 } + 3 x } { x - 1 } \div \frac { x ^ { 2 } - 9 } { 3 x - 3 } \cdot \frac { x - 3 } { x }$$
A) $\frac { 1 } { 3 \left( x ^ { 2 } - 9 \right) }$
B) 3
C) $\frac { ( x + 3 ) ( 3 x - 3 ) } { x ( x - 3 ) }$
D) $\frac { ( x + 3 ) ^ { 2 } ( x - 3 ) } { 3 ( x - 1 ) }$

Question

Quizplus · Accepted Answer

The expression simplifies to 3 after performing the division and multiplication of the rational expressions and canceling common factors.

Perform the Indicated Operations x2+3xx−1÷x2−93x−3⋅x−3x\frac { x ^ { 2 } + 3 x } { x - 1 } \div \frac { x ^ { 2 } - 9 } { 3 x - 3 } \cdot \frac { x - 3 } { x }x−1x2+3x​÷3x−3x2−9​⋅xx−3​

Perform the Indicated Operations $\frac { x ^ { 2 } + 3 x } { x - 1 } \div \frac { x ^ { 2 } - 9 } { 3 x - 3 } \cdot \frac { x - 3 } { x }$