Simplify x² + 3½x²: Combining Like Terms with Mixed Numbers

$(+x^2)+(+3\frac{1}{2}x^2)=$

To solve this problem, we will add the coefficients of the like terms:

• Step 1: Identify the given expressions: $(+x^2)$ and $(+3\frac{1}{2}x^2)$.
• Step 2: Add the coefficients of the terms. The coefficients are $1$ for $x^2$ and $3.5$ for $3\frac{1}{2}x^2$.
• Step 3: Add these coefficients: $1 + 3.5 = 4.5$.
• Step 4: Multiply the sum of the coefficients by $x^2$.

By following these steps, we obtain the expression $4.5x^2$. Thus, the solution is $4\frac{1}{2}x^2$.