Question

Simplify the expression$\frac{5}{a^{2}b}-\frac{7a}{5b^2}$.

Short answer

The simplified value of expression is$\frac{25b-7a^3}{5a^2{b}^2}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is$\frac{5}{a^{2}b}-\frac{7a}{5b^2}$.

Step 2. Simplify the expression.

The given expression $\frac{5}{a^{2}b}-\frac{7a}{5b^2}$is simplified as:

$\begin{array}{c}\frac{5}{a^{2}b}-\frac{7a}{5b^2}=\frac{25b-7a^3}{5a^2{b}^2}\\ =\frac{25b-7a^3}{5a^2{b}^2}\end{array}$

Step 3. Conclusion.

The simplified value of expression is$\frac{25b-7a^3}{5a^2{b}^2}$.