use the distributive property to multiply. -4x(3x - 2)

Explanation:

Step1: Apply distributive property

$$-4x\times3x+(-4x)\times(-2)$$

Step2: Multiply terms

For $-4x\times3x$, using the rule $a^m\times a^n=a^{m + n}$, we have $-4\times3\times x^{1+1}=-12x^2$. For $(-4x)\times(-2)$, $(-4)\times(-2)\times x = 8x$.

Step3: Combine results

$$-12x^2 + 8x$$

Answer:

$-12x^2+8x$