Final answer:
To simplify (9w³ + 4w – 4) + (2w² + 6w + 9), you combine like terms for each power of w, which results in 9w³ + 2w² + 10w + 5, not matching any provided answer options.
Step-by-step explanation:
To simplify the expression (9w³ + 4w – 4) + (2w² + 6w + 9), you combine like terms. In this case, you will combine the terms that contain the same powers of w.
- Combine the w³ terms: There is only one, which is 9w³.
- Combine the w² terms: There is only one, which is 2w².
- Combine the w terms: 4w + 6w equals 10w.
- Combine the constant terms: – 4 + 9 equals 5.
Once you combine these, the simplified expression is: 9w³ + 2w² + 10w + 5. However, this is not one of the options provided, indicating there may be a typo in the question or the answer choices. Assuming there's no typo, none of the choices A, B, C, or D is the correct simplified form of the given expression.