Answer:
[tex]\frac{x^{2}(3x-4)}{10}[/tex]
Explanation:
Given the expression:
[tex]\frac{3x^2-4x}{12x}\cdot\frac{6x^2}{5}[/tex]
The expression can be written in the form below:
[tex]\begin{gathered} \frac{3x^2-4x}{5}\times\frac{6x^2}{12x} \\ =\frac{x(3x-4)}{5}\times\frac{6x\times x}{6x\times2} \end{gathered}[/tex]
Cancel the common term, 6x:
[tex]\begin{gathered} =\frac{x(3x-4)}{5}\times\frac{x}{2} \\ =\frac{x^2(3x-4)}{10} \end{gathered}[/tex]
The simplified form of the expression is:
[tex]\frac{x^{2}(3x-4)}{10}[/tex]
