Final answer:
To rewrite the expression using a common denominator, find the least common multiple of the denominators and rewrite the fractions with the common denominator.
Step-by-step explanation:
To rewrite the expression using a common denominator, we need to find the least common multiple of the denominators. In this case, the denominators are x and x². The least common multiple of x and x² is x², so we need to rewrite the expression with x² as the common denominator.
First fraction: 2x/x * (x²/x²) = 2x²/x²
Second fraction: 3/x² * (x/x) = 3x/x²
Now we can add the fractions together: 2x²/x² + 3x/x² = (2x² + 3x)/x²