Simplify.
\[
3 x\left(x^{2}-2\right)-2\left(x-3 x^{2}\right)
\]

Answer

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Answer

Final Answer: \(\boxed{x(3x^2 + 6x - 8)}\)

Steps

Step 1 ：Distribute the terms inside the parentheses: \(3x^3 - 6x - 2x + 6x^2\)

Step 2 ：Combine like terms: \(3x^3 + 6x^2 - 8x\)

Step 3 ：Factor out the common factor of x: \(x(3x^2 + 6x - 8)\)

Step 4 ：Final Answer: \(\boxed{x(3x^2 + 6x - 8)}\)