Short Answer

Simplify

$(7 + 2 i) (1 - i)$

The simplified value of expression is $(7 + 2 i) (1 - i) = 9 - 5 i$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

Given to simplify the expression $(7 + 2 i) (1 - i)$

Step 2. Explanation.

From the properties of complex numbers, $i^{2} = - 1$

Using the above property,

$\begin{array}{l} (7 + 2 i) (1 - i) = 7 - 7 i + 2 i - 2 i^{2} \\ (7 + 2 i) (1 - i) = 7 - 7 i + 2 i - 2 (- 1) \\ (7 + 2 i) (1 - i) = 7 - 7 i + 2 i + 2 \\ (7 + 2 i) (1 - i) = 7 + 2 - 7 i + 2 i \\ (7 + 2 i) (1 - i) = 9 - 5 i \end{array}$

Step 3. Conclusion.

Therefore, The simplified value of expression is $(7 + 2 i) (1 - i) = 9 - 5 i$ .

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Algebra 2

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Short Answer

Simplify

$(7 + 2 i) (1 - i)$

Step by Step Solution

Step 1. Given Information.

Step 2. Explanation.

Step 3. Conclusion.

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Simplify

$(7 + 2 i) (1 - i)$