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Chapter 9: Q. 11 (page 482)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Write down the given expression.

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

02

Step 2. Simplify the expression.

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

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

03

Step 3. Conclusion.

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

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Most popular questions from this chapter

Simplify the expression $\frac{r^{2} + 2 r 鈭� 8}{r^{2} + 4 r + 3} 梅 \frac{r 鈭� 2}{3 r + 3}$

Under what conditions is the expression $\frac{a^{2} + a b + b^{2}}{a^{2} 鈭� b^{2}}$ undefined.

Simplify the expression $\frac{5}{3 m} 鈭� \frac{2}{7 m} 鈭� \frac{1}{2 m}$ .

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

Find the exact solution(s) of each system of equations.

$\begin{array}{l} x^{2} + 2 y^{2} = 33 \\ x^{2} + y^{2} 鈭� 19 = 2 x \end{array}$

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