Final answer:
To divide the expression (48w³ 36w²−27w) by 3w, divide each term in the expression separately: 48w³ ÷ 3w = 16w², 36w² ÷ 3w = 12w, and -27w ÷ 3w = -9. The final result is 16w² + 12w - 9.
Step-by-step explanation:
To divide the expression (48w³ 36w²−27w) by 3w, we can divide each term in the expression separately. Let's go step by step:
- Divide 48w³ by 3w: 48w³ ÷ 3w = 16w²
- Divide 36w² by 3w: 36w² ÷ 3w = 12w
- Divide -27w by 3w: -27w ÷ 3w = -9
Putting it all together, we have (48w³ 36w²−27w) ÷ (3w) = 16w² + 12w - 9.