To simplify the expression, we first need to combine like terms. The given expression is:
3w² + 5w + 6 + 6w² + 4w + 2
Let’s group the like terms:
- For the w² terms: 3w² + 6w² = 9w²
- For the w terms: 5w + 4w = 9w
- For the constant terms: 6 + 2 = 8
Now, we combine all these results:
9w² + 9w + 8
Thus, the simplified form of the given expression is: