Question

multiply.
$(7w+4)(w^2 - 5w - 3)$
simplify your answer.

Explanation:

Step1: Distribute $7w$ to each term

$7w \cdot w^2 + 7w \cdot (-5w) + 7w \cdot (-3) = 7w^3 - 35w^2 - 21w$

Step2: Distribute $4$ to each term

$4 \cdot w^2 + 4 \cdot (-5w) + 4 \cdot (-3) = 4w^2 - 20w - 12$

Step3: Combine all terms

$7w^3 - 35w^2 - 21w + 4w^2 - 20w - 12$

Step4: Combine like terms

$7w^3 + (-35w^2 + 4w^2) + (-21w - 20w) - 12 = 7w^3 - 31w^2 - 41w - 12$

Answer:

$7w^3 - 31w^2 - 41w - 12$