To simplify the expression 6x² + 3 – 5x³ + 4x³ + 2x² + 16, we start by combining like terms.
1. First, let’s identify the like terms:
- For the cubic terms: -5x³ + 4x³
- For the quadratic terms: 6x² + 2x²
- The constant terms are: 3 + 16
2. Next, we combine these:
- Cubic terms: -5x³ + 4x³ = -1x³ = -x³
- Quadratic terms: 6x² + 2x² = 8x²
- Constant terms: 3 + 16 = 19
3. After combining all the like terms, we rewrite the expression:
-x³ + 8x² + 19
Thus, the simplified form of the expression 6x² + 3 – 5x³ + 4x³ + 2x² + 16 is:
-x³ + 8x² + 19