BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter I, Problem 4E
To determine

To evaluate: The expression (12i)(83i) in the form of a+bi.

Expert Solution

Answer to Problem 4E

The value of the expression (12i)(83i) is 219i.

Explanation of Solution

The product of two complex numbers defined as (a+bi)(c+di)=(acbd)+i(ad+bc).

Thus, the expression (12i)(83i) simplified as follows.

(12i)(83i)=[1(8)(2)(3)]+i[1(3)+(2)(8)]=(86)+i(316)=219i

Therefore, the value of the expression (12i)(83i) is 219i.

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