Question

4(2 - 3w)(w² - 2w + 10)

Explanation:

Step1: Multiply \((2 - 3w)\) and \((w^2 - 2w + 10)\)

Using the distributive property (FOIL for polynomials):

$$
LATEXBLOCK0
$$

Combine like terms:

$$ -3w^3+(2w^2 + 6w^2)+(-4w - 30w)+20=-3w^3 + 8w^2 - 34w + 20 $$

Step2: Multiply by 4

$$ 4(-3w^3 + 8w^2 - 34w + 20)=-12w^3 + 32w^2 - 136w + 80 $$

Answer:

\(-12w^3 + 32w^2 - 136w + 80\)