use the distributive property to multiply. 2x(3x² + 5x - 2)

Explanation:

Step1: Apply distributive property

$$2x\times3x^{2}+2x\times5x - 2x\times2$$

Step2: Calculate each term

For (2x\times3x^{2}), using the rule (a^m\times a^n=a^{m + n}), we have (2\times3\times x^{1+2}=6x^{3}). For (2x\times5x), (2\times5\times x^{1 + 1}=10x^{2}). For (2x\times2), (2\times2\times x=4x).

Answer:

(6x^{3}+10x^{2}-4x)