Q. 7 - Algebra 2

Question

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

Step-by-Step Solution

Answer

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

Step 1. Write down the given expression.

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

Step 2. Simplify the expression.

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

$\begin{array}{l}\frac{2}{x^{2}y}-\frac{x}{y}=\frac{2-x\cdot x^2}{x^{2}y}\\ =\frac{2-x^3}{x^{2}y}\end{array}$

Step 3. Conclusion.

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