Multiply. Do not simplify.
-$$\frac { 3 x } { 3 x } \cdot \frac { x - 9 } { x + 3 }$$
A) $\frac { 3 x ( x - 9 ) } { x + 3 }$
B) $\frac { x - 9 } { 3 x ( x + 3 ) }$
C) $\frac { 3 x ( x - 9 ) } { 3 x ( x + 3 ) }$
D) $\frac { 3 x ( x + 3 ) } { 3 x ( x - 9 ) }$

Question

Quizplus · Accepted Answer

To multiply, we simply multiply across the numerators and across the denominators. Thus,
$$\frac { 3 x } { 3 x } \cdot \frac { x - 9 } { x + 3 } = \frac{3x(x-9)}{3x(x+3)} = \frac { 3 x ( x - 9 ) } { 3 x ( x + 3 ) }$$
We can cancel out the common factors in the numerator and the denominator, and the result is the expression in choice C.

Multiply Do Not Simplify 3x3x⋅x−9x+3\frac { 3 x } { 3 x } \cdot \frac { x - 9 } { x + 3 }3x3x​⋅x+3x−9​

Multiply Do Not Simplify $\frac { 3 x } { 3 x } \cdot \frac { x - 9 } { x + 3 }$