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Chapter 9: Q. 8 (page 482)

Simplify the expression $\frac{7 a}{15 b^{2}} + \frac{b}{18 a b}$ .

Short Answer

Expert verified

The simplified value of expression is $\frac{42 a^{2} + 5 b^{2}}{90 a b^{2}}$ .

Step by step solution

01

Step 1. Write down the given expression.

The given expression is $\frac{7 a}{15 b^{2}} + \frac{b}{18 a b}$ .

02

Step 2. Simplify the expression.

The given expression $\frac{7 a}{15 b^{2}} + \frac{b}{18 a b}$ is simplified as:

$\begin{matrix} \frac{7 a}{15 b^{2}} + \frac{b}{18 a b} = \frac{7 a}{15 b^{2}} + \frac{1}{18 a} \\ = \frac{42 a^{2} + 5 b^{2}}{90 a b^{2}} \end{matrix}$

03

Step 3. Conclusion.

The simplified value of expression is $\frac{42 a^{2} + 5 b^{2}}{90 a b^{2}}$

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