4. One of the two following expressions cannot be simplified. Circle which cannot be simpl and explain why it cannot. \( 8 x+10 x \) \[ 8+10 y \] Explanation: 8

Let's analyze the two expressions to determine which one cannot be simplified. 1. **Expression 1:** \( 8x + 10x \) - This expression consists of like terms (both terms contain the variable \( x \)). - We can combine these like terms: \[ 8x + 10x = (8 + 10)x = 18x \] - Therefore, this expression can be simplified to \( 18x \). 2. **Expression 2:** \( 8 + 10y \) - This expression consists of unlike terms (one term is a constant \( 8 \) and the other term is \( 10y \)). - Since there are no like terms to combine, this expression cannot be simplified further. ### Conclusion: The expression that cannot be simplified is \( 8 + 10y \) because it contains unlike terms, and there are no like terms to combine. ### Explanation: - **Like Terms:** Terms that have the same variable raised to the same power (e.g., \( 8x \) and \( 10x \)). - **Unlike Terms:** Terms that do not share the same variable or have different variables (e.g., \( 8 \) and \( 10y \)). Thus, the expression \( 8 + 10y \) remains as it is, while \( 8x + 10x \) can be simplified to \( 18x \).