Question

$-5x^{3}(2x^{3}-4x^{2}+2)$

Explanation:

Step1: Distribute $-5x^3$ to each term

$-5x^3 \cdot 2x^3 + (-5x^3) \cdot (-4x^2) + (-5x^3) \cdot 2$

Step2: Calculate each product

$$\begin{align*} -5x^3 \cdot 2x^3 &= -10x^{3+3} = -10x^6 \\ (-5x^3) \cdot (-4x^2) &= 20x^{3+2} = 20x^5 \\ (-5x^3) \cdot 2 &= -10x^3 \end{align*}$$

Step3: Combine the results

$-10x^6 + 20x^5 - 10x^3$

Answer:

$-10x^6 + 20x^5 - 10x^3$