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Q37.

Expert-verified

Algebra 2

Found in: Page 477

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

Simplify the expression $\frac{\frac{p^{3}}{2 q}}{- \frac{p^{2}}{4 q}}$

The simplified value of expression is $- 2 p$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given expression.

The given expression is $\frac{\frac{p^{3}}{2 q}}{- \frac{p^{2}}{4 q}}$

Step 2. Simplify the expression.

The given expression $\frac{\frac{p^{3}}{2 q}}{- \frac{p^{2}}{4 q}}$ is simplified as:

$\begin{matrix} \frac{\frac{p^{3}}{2 q}}{- \frac{p^{2}}{4 q}} = \frac{p^{3}}{2 q} \times - \frac{4 q}{p^{2}} \\ = (- 2) \times \frac{p^{3} q}{p^{2} q} \\ = - 2 p \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $- 2 p$ .

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