Chapter 9: Q9. (page 476)

Simplify the expression $\frac{3 t + 6}{7 t - 7} \cdot \frac{14 t - 14}{5 t + 10}$ .

Short Answer

Expert verified

The simplified value of expression is $\frac{6}{5}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{3 t + 6}{7 t - 7} \cdot \frac{14 t - 14}{5 t + 10}$ .

Step 2. Simplify the expression.

The given expression $\frac{3 t + 6}{7 t - 7} \cdot \frac{14 t - 14}{5 t + 10}$ is simplified as:

$\begin{array}{l} \frac{3 t + 6}{7 t - 7} \cdot \frac{14 t - 14}{5 t + 10} = \frac{3 (t + 2)}{7 (t - 1)} \cdot \frac{14 (t - 1)}{5 (t + 2)} \\ = \frac{3}{7} \cdot \frac{14}{5} \\ = \frac{3}{1} \cdot \frac{2}{5} \\ = \frac{6}{5} \end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{6}{5}$ .

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Simplify the expression $\frac{3 t + 6}{7 t - 7} \cdot \frac{14 t - 14}{5 t + 10}$ .

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 expression3t+67t−7⋅14t−145t+10.

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 $\frac{3 t + 6}{7 t - 7} \cdot \frac{14 t - 14}{5 t + 10}$ .