Answer: To simplify this expression, we need to find a common denominator for the two fractions. The denominators are 4x^2y and 6xy^3. The least common multiple of 4x^2y and 6xy^3 is 12x^2y^3.
So, we can rewrite the expression as:
3/(4x^2y) + 2/(6xy^3) = (3/4) * (3y/3y) * (y^2/x^2y^2) + (2/6) * (2x^2/2x^2) * (y/xy^3)
Simplifying the numerators, we get:
= (9y^3/12x^2y^3) + (4x^2y/12x^2y^3)
Combining the two fractions, we get:
= (9y^3 + 4x^2y) / (12x^2y^3)
Therefore, the simplified expression is:
(9y^3 + 4x^2y) / (12x^2y^3)
Explanation: