To simplify the expression 6x² + 3 + 5x³ + 4x³ + 2x² + 8, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.
Let’s break down the expression:
- Terms with x³: 5x³ and 4x³
- Terms with x²: 6x² and 2x²
- Constant terms: 3 and 8
Now, we can combine these like terms:
- For the x³ terms:
5x³ + 4x³ = 9x³ - For the x² terms:
6x² + 2x² = 8x² - For the constant terms:
3 + 8 = 11
Putting it all together, we have:
9x³ + 8x² + 11
This is the simplified form of the original expression!