To simplify the expression 8x² + 2x³ + 7x³ + 3x² + 1, we first need to combine like terms. Like terms are those that have the same variables raised to the same powers.
Let’s break it down:
- The terms 2x³ and 7x³ are like terms because they both contain the variable x raised to the power of 3.
- The terms 8x² and 3x² are like terms because they both contain the variable x raised to the power of 2.
- The constant term is 1.
Now, let’s combine the like terms:
- For the x³ terms: 2x³ + 7x³ = 9x³
- For the x² terms: 8x² + 3x² = 11x²
Putting it all together, we get:
9x³ + 11x² + 1
So, the simplified form of the expression 8x² + 2x³ + 7x³ + 3x² + 1 is 9x³ + 11x² + 1.