Chapter 9: Q. 11 (page 482)

Simplify the expression $\frac{a}{a^{2} - a - 20} + \frac{2}{a + 4}$ .

Short Answer

Expert verified

The simplified value of expression is $\frac{3 a - 10}{(a - 5) (a + 4)}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{a}{a^{2} - a - 20} + \frac{2}{a + 4}$ .

Step 2. Simplify the expression.

The given expression $\frac{a}{a^{2} - a - 20} + \frac{2}{a + 4}$ is simplified as:

$\begin{matrix} \frac{a}{a^{2} - a - 20} + \frac{2}{a + 4} = \frac{a}{(a - 5) (a + 4)} + \frac{2}{a + 4} \\ = \frac{a + 2 (a - 5)}{(a - 5) (a + 4)} \\ = \frac{3 a - 10}{(a - 5) (a + 4)} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $\frac{3 a - 10}{(a - 5) (a + 4)}$ .

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Simplify the expression $\frac{a}{a^{2} - a - 20} + \frac{2}{a + 4}$ .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Simplify the expressionaa2−a−20+2a+4.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Most popular questions from this chapter

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Simplify the expression $\frac{a}{a^{2} - a - 20} + \frac{2}{a + 4}$ .