Chapter 9: Q34. (page 476)

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

Short Answer

Expert verified

The simplified value of expression is $\frac{3 (r + 4)}{(r + 3)}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{r^{2} + 2 r 鈭� 8}{r^{2} + 4 r + 3} 梅 \frac{r 鈭� 2}{3 r + 3}$

Step 2. Simplify the expression.

The given expression $\frac{r^{2} + 2 r 鈭� 8}{r^{2} + 4 r + 3} 梅 \frac{r 鈭� 2}{3 r + 3}$ is simplified as:

$\begin{matrix} \frac{r^{2} + 2 r 鈭� 8}{r^{2} + 4 r + 3} 梅 \frac{r 鈭� 2}{3 r + 3} = \frac{r^{2} + 2 r 鈭� 8}{r^{2} + 4 r + 3} 脳 \frac{3 r + 3}{r 鈭� 2} \\ = \frac{(r + 4) (r 鈭� 2)}{(r + 3) (r + 1)} 脳 \frac{3 (r + 1)}{r 鈭� 2} \\ = \frac{3 (r + 4)}{(r + 3)} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $\frac{3 (r + 4)}{(r + 3)}$ .

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

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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91影视

Simplify the expressionr2+2r鈭�8r2+4r+3梅r鈭�23r+3

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

Mechanics Maths

Geometry

Statistics

Applied Mathematics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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