The product of the square of \( x \) and seven Simplify by using order of operations: \[ \frac{10}{2+3}+\frac{6+3}{3} \]

Certainly! Let's address both parts of your question step by step. --- ### 1. **The Product of the Square of \( x \) and Seven** **Expression:** \[ 7 \times x^2 \] **Simplified Form:** \[ 7x^2 \] **Explanation:** - "The square of \( x \)" is \( x^2 \). - The product of \( x^2 \) and seven is simply \( 7x^2 \). --- ### 2. **Simplify Using Order of Operations** **Expression:** \[ \frac{10}{2+3} + \frac{6+3}{3} \] **Step-by-Step Simplification:** 1. **Evaluate Parentheses:** - \( 2 + 3 = 5 \) - \( 6 + 3 = 9 \) So, the expression becomes: \[ \frac{10}{5} + \frac{9}{3} \] 2. **Perform Division:** - \( \frac{10}{5} = 2 \) - \( \frac{9}{3} = 3 \) Now, the expression is: \[ 2 + 3 \] 3. **Add the Results:** - \( 2 + 3 = 5 \) **Final Simplified Result:** \[ 5 \] --- **Summary:** - The product of the square of \( x \) and seven is \( 7x^2 \). - The simplified value of the expression \( \frac{10}{2+3} + \frac{6+3}{3} \) is **5**.