How can I simplify the expression 6x^2 + 3 + 5x^3 + 4x^3 + 2x^2 + 16?

To simplify the expression 6x2 + 3 + 5x3 + 4x3 + 2x2 + 16, we will first combine like terms.

1. Identify the like terms:

  • The x3 terms: 5x3 + 4x3
  • The x2 terms: 6x2 + 2x2
  • Constant terms: 3 + 16

2. Combine the like terms:

  • x3 terms: 5x3 + 4x3 = 9x3
  • x2 terms: 6x2 + 2x2 = 8x2
  • Constant terms: 3 + 16 = 19

3. Rewrite the original expression with the combined terms:

The simplified expression is: 9x3 + 8x2 + 19

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