Question

Operations on Complex NumbersSimplify each of the following and write in the form a + bi.(14 + 9i) – (1 + 101) =2i(13 + 151) =(8 + 73) - 3(11 + 121) =(4 - i)(6 + i) -

Answer 1

(a) Given

`(14\text{ + 9i\rparen -\lparen1 + 10i\rparen}`

Open the bracket:

`\begin{gathered} =\text{ 14 + 9i -1 - 10i} \\ Collect\text{ like terms} \\ =\text{ 14 -1 +9i -10i} \\ =\text{ 13 - i} \end{gathered}`

Answer: 13 -i

(b)Given:

`2i\text{ \lparen13 + 15i\rparen}`

Open the b