Select the simplified form of this expression. $$ \frac{3 x-9}{10 x} \cdot \frac{2 x^{3}+8 x^{2}}{x^{2}+x-12} $$

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Calculate or simplify the expression $$ \frac{3x-9}{10x} \cdot \frac{2x^3+8x^2}{x^2+x-12} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{3x-9}{10x}	imes \frac{2x^{3}+8x^{2}}{x^{2}+x-12}$$
- step1: Divide the terms:
  $$\frac{3x-9}{10x}	imes \frac{2x^{2}}{x-3}$$
- step2: Rewrite the expression:
  $$\frac{3\left(x-3ight)}{10x}	imes \frac{2x^{2}}{x-3}$$
- step3: Reduce the fraction:
  $$\frac{3}{5}x$$
- step4: Multiply the terms:
  $$\frac{3x}{5}$$
The simplified form of the expression $$\frac{3x-9}{10x} \cdot \frac{2x^{3}+8x^{2}}{x^{2}+x-12}$$ is $$\frac{3x}{5}$$.
The simplified form of the expression is $$ \frac{3x}{5} $$.

Select the simplified form of this expression.

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