Multiply: 1. \( \left(3 x^{3}-2 x\right)\left(2 x^{2}-x-4\right) \)

Calculate or simplify the expression \( (3x^3-2x)(2x^2-x-4) \). Calculate or simplify the expression \( (3x^3-2x)(2x^2-x-4) \). Simplify the expression by following steps: - step0: Multiply the terms: \(\left(3x^{3}-2x\right)\left(2x^{2}-x-4\right)\) - step1: Apply the distributive property: \(3x^{3}\times 2x^{2}-3x^{3}\times x-3x^{3}\times 4-2x\times 2x^{2}-\left(-2x\times x\right)-\left(-2x\times 4\right)\) - step2: Multiply the terms: \(6x^{5}-3x^{4}-12x^{3}-4x^{3}-\left(-2x^{2}\right)-\left(-8x\right)\) - step3: Remove the parentheses: \(6x^{5}-3x^{4}-12x^{3}-4x^{3}+2x^{2}+8x\) - step4: Subtract the terms: \(6x^{5}-3x^{4}-16x^{3}+2x^{2}+8x\) The product of \( (3x^{3}-2x) \) and \( (2x^{2}-x-4) \) is \( 6x^{5}-3x^{4}-16x^{3}+2x^{2}+8x \).