Answer:
D. [tex]3m[/tex]
Step-by-step explanation:
We have been given an expression [tex]\frac{3m}{m-6}\times \frac{5m^3-30m^2}{5m^2}[/tex]. We are asked to simplify our given expression.
First of all, we will factor our expression as:
[tex]\frac{3m}{m-6}\times \frac{5m^2(m-6)}{5m^2}[/tex]
To simplify our given expression, we need to cancel out common factors as shown below:
[tex]\frac{3m}{1}\times \frac{5m^2}{5m^2}[/tex]
[tex]\frac{3m}{1}\times 1[/tex]
[tex]3m[/tex]
Therefore, the simplified form of our given expression would be [tex]3m[/tex] and option D is the correct choice.
