If the given expression is simplified we get c. 2x²y³ + 3y.
Explanation:
- The numerator has two terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
- So 14x⁵y⁴ + 21x³y² / 7x³y becomes 14x⁵y⁴ / 7x³y + 21x³y² / 7x³y.
- The simplification of the first term; 14 / 7 = 2, x⁵ / x³ = x², y⁴/y = y³. So the first term is 2x²y³.
- The simplification of the second term; 21 / 7 = 3, x³ / x³ = 1, y² / y = y. So the second term is 3y.
- Adding both the terms we get 2x²y³ + 3y. This is the option c.
