Question

1. multiply: $2x(3x^2 + 4x - 5)$

$6x^2 + 8x - 10$
$6x^3 + 10x^2 - 8x$
$6x^3 + 8x^2 - 10x$
$2x^3 + 8x - 10$

Explanation:

Step1: Distribute $2x$ to each term

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

Step2: Calculate each product

$\frac{2 \cdot 3}{1}x^{1+2} + \frac{2 \cdot 4}{1}x^{1+1} - \frac{2 \cdot 5}{1}x$

Step3: Simplify each term

$6x^3 + 8x^2 - 10x$

Answer:

$\boldsymbol{6x^3 + 8x^2 - 10x}$ (corresponding to the third option)