To simplify the expression 10x² + 8x + 14x² + 8x + 5, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.
First, let’s identify the like terms in the expression:
- The terms with x²: 10x² + 14x²
- The terms with x: 8x + 8x
- The constant term: 5
Now let’s combine these terms:
- For the x² terms: 10x² + 14x² = 24x²
- For the x terms: 8x + 8x = 16x
Thus, we can rewrite the expression as:
24x² + 16x + 5
So, the simplified form of the expression is 24x² + 16x + 5.