Final answer:
To simplify the expression 2x⁵ + 5x³/x, divide each term by x, which involves subtracting the exponents. The result is 2x⁴ + 5x².
Step-by-step explanation:
To simplify the expression 2x⁵ + 5x³/x, we need to divide each term in the numerator by the term in the denominator. When dividing exponentials, we subtract the exponents when the base is the same. In our example:
- For the first term 2x⁵, after division by x, we subtract the exponents 5 - 1 to get x⁴. So the simplified form is 2x⁴.
- For the second term 5x³, after division by x, we subtract the exponents 3 - 1 to get x². So the simplified form is 5x².
Therefore, the simplified expression is 2x⁴ + 5x².