Question

which expression is equivalent to $-3q(4q^2 + q - 1)$?
$-12q^3 - 3q^2 - 3q$ $-12q^3 - 3q + 3q$
$-12q^3 - 3q - 3q$ $-12q^3 - 3q^2 + 3q$

Explanation:

Step1: Distribute $-3q$ to each term

$-3q \times 4q^2 + (-3q) \times q + (-3q) \times (-1)$

Step2: Calculate each product

$-12q^3 - 3q^2 + 3q$

Answer:

$-12q^3 - 3q^2 + 3q$ (the bottom-right option)