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Q53.

Expert-verified

Algebra 2

Found in: Page 416

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

Simplify the expression $(1 - 2 i) (2 + i)$ .

The simplified value of expression is $4 - 3 i$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given information.

The given expression is $(1 - 2 i) (2 + i)$ .

Step 2. Calculation.

Simplifying the given expression $(1 - 2 i) (2 + i)$ .

\begin{matrix} (1 - 2 i) (2 + i) = 1 (2 + i) - 2 i (2 + i) \\ = 2 + i - 4 i - 2 i^{2} \\ = 2 + i - 4 i - 2 (- 1) .... (∵ i^{2} = - 1) \\ = 2 - 3 i + 2 \\ = 4 - 3 i \end{matrix}

Step 3. Conclusion.

The simplified value of expression is $4 - 3 i$ .

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