Question

Simplify the expression$\frac{3x}{4y^2}-\frac{y}{6x}$.

Short answer

The simplified value of expression is$\frac{9x^2-2y^3}{12x{y}^2}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is$\frac{3x}{4y^2}-\frac{y}{6x}$.

Step 2. Simplify the expression.

The given expression $\frac{3x}{4y^2}-\frac{y}{6x}$is simplified as:

$\begin{array}{c}\frac{3x}{4y^2}-\frac{y}{6x}=\frac{9x^2-2y^3}{12x{y}^2}\\ =\frac{9x^2-2y^3}{12x{y}^2}\end{array}$

Step 3. Conclusion.

The simplified value of expression is$\frac{9x^2-2y^3}{12x{y}^2}$.