How do you simplify the expression 3w² + 5w + 6 + 6w² + 4w + 2?

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 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:

9w² + 9w + 8

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