Chapter 9: Q35. (page 476)

Simplify the expression $\frac{a^{2} + 2 a 鈭� 15}{a 鈭� 3} 梅 \frac{a^{2} 鈭� 4}{2}$

Short Answer

Expert verified

The simplified value of expression is $\frac{2 (a + 5)}{(a 鈭� 2) (a + 2)}$

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{a^{2} + 2 a 鈭� 15}{a 鈭� 3} 梅 \frac{a^{2} 鈭� 4}{2}$

Step 2. Simplify the expression.

The given expression $\frac{a^{2} + 2 a 鈭� 15}{a 鈭� 3} 梅 \frac{a^{2} 鈭� 4}{2}$ is simplified as:

$\begin{matrix} \frac{a^{2} + 2 a 鈭� 15}{a 鈭� 3} 梅 \frac{a^{2} 鈭� 4}{2} = \frac{a^{2} + 2 a 鈭� 15}{a 鈭� 3} 脳 \frac{2}{a^{2} 鈭� 4} \\ = \frac{(a + 5) (a 鈭� 3)}{a 鈭� 3} 脳 \frac{2}{(a 鈭� 2) (a + 2)} \\ = \frac{2 (a + 5)}{(a 鈭� 2) (a + 2)} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $\frac{2 (a + 5)}{(a 鈭� 2) (a + 2)}$

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Simplify the expression $\frac{a^{2} + 2 a 鈭� 15}{a 鈭� 3} 梅 \frac{a^{2} 鈭� 4}{2}$

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 expressiona2+2a鈭�15a鈭�3梅a2鈭�42

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

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Geometry

Probability and Statistics

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Calculus

Study anywhere. Anytime. Across all devices.

Simplify the expression $\frac{a^{2} + 2 a 鈭� 15}{a 鈭� 3} 梅 \frac{a^{2} 鈭� 4}{2}$