Answer:
[tex]\frac{3x}{5(x+2)}[/tex]
Step-by-step explanation:
1) Simplify [tex]\frac{6{x}^{2}}{x(x-3)}[/tex] to [tex]\frac{6x}{x-3}[/tex]
[tex]\frac{6x}{x-3}\times \frac{x-3}{10(x+2)}[/tex]
2) Cancel x - 3.
[tex]6x\times \frac{1}{10(x+2)}[/tex]
3) Simplify.
[tex]\frac{6x}{10(x+2)}[/tex]
4) Simplify.
[tex]\frac{3x}{5(x+2)}[/tex]