Chapter 9: Q33. (page 476)

Simplify the expression $\frac{w^{2} - 11 w + 24}{w^{2} - 18 w + 80} \cdot \frac{w^{2} - 15 w + 50}{w^{2} - 9 w + 20}$

Short Answer

Expert verified

The simplified value of expression is $\frac{w - 3}{w - 4}$

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{w^{2} - 11 w + 24}{w^{2} - 18 w + 80} \cdot \frac{w^{2} - 15 w + 50}{w^{2} - 9 w + 20}$

Step 2. Simplify the expression.

The given expression $\frac{w^{2} - 11 w + 24}{w^{2} - 18 w + 80} \cdot \frac{w^{2} - 15 w + 50}{w^{2} - 9 w + 20}$ is simplified as:

$\begin{matrix} \frac{w^{2} - 11 w + 24}{w^{2} - 18 w + 80} \cdot \frac{w^{2} - 15 w + 50}{w^{2} - 9 w + 20} = \frac{(w - 8) (w - 3)}{(w - 10) (w - 8)} \cdot \frac{(w - 10) (w - 5)}{(w - 4) (w - 5)} \\ = \frac{(w - 3)}{(w - 10)} \cdot \frac{(w - 10)}{(w - 4)} \\ = \frac{w - 3}{w - 4} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $\frac{w - 3}{w - 4}$ .

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Simplify the expression $\frac{w^{2} - 11 w + 24}{w^{2} - 18 w + 80} \cdot \frac{w^{2} - 15 w + 50}{w^{2} - 9 w + 20}$

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 expressionw2−11w+24w2−18w+80⋅w2−15w+50w2−9w+20

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

Geometry

Mechanics Maths

Decision Maths

Calculus

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Simplify the expression $\frac{w^{2} - 11 w + 24}{w^{2} - 18 w + 80} \cdot \frac{w^{2} - 15 w + 50}{w^{2} - 9 w + 20}$