Question

rewrite without parentheses.
$-5w^4(3w^3 + 4w^2 - 2)$
simplify your answer as much as possible.

Explanation:

Step1: Distribute $-5w^4$ to each term

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

Step2: Multiply coefficients and add exponents

$$\begin{align*} (-5 \cdot 3)w^{4+3} + (-5 \cdot 4)w^{4+2} + (-5 \cdot -2)w^4 \end{align*}$$

Step3: Simplify each term

$-15w^7 -20w^6 +10w^4$

Answer:

$-15w^7 -20w^6 +10w^4$