Question

rewrite without parentheses.
-2w^5(8w^3 - 2w^2 + 9w)
simplify your answer as much as possible.

Explanation:

Step1: Distribute \(-2w^5\) to each term inside the parentheses.

For the first term: \(-2w^5 \times 8w^3 = -16w^{5 + 3} = -16w^8\)
For the second term: \(-2w^5 \times (-2w^2) = 4w^{5 + 2} = 4w^7\)
For the third term: \(-2w^5 \times 9w = -18w^{5 + 1} = -18w^6\)

Step2: Combine the results from Step1.

Putting it all together, we get \(-16w^8 + 4w^7 - 18w^6\)

Answer:

\(-16w^8 + 4w^7 - 18w^6\)