Question

express the following in the form of a+ib. state the value of a and b.
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Answer 1

Answer:

3/10 - 1/10i

Step-by-step explanation:

(2 + i) / (3 - i) (1+ 2 i)

= 2 + i / 3 + 6 i - i - 2 i ^2

= 2 + i / 3 + 5 i + 2...............i^2 = (- 1)

= 2 + i / 5 + 5 i

= 2 + i / 5 + 5 i × 5 - 5 i/ 5 - 5 i

......multiply and divide by

it's conjugate

= 10 -10 i + 5 i - 5 i ^2 / ( 5 ) ^2 - ( 5 i) ^2

= 10 - 5 i + 5 / 25 + 25

= 15 - 5 i / 50

= 15 / 50 - 3 / 10 - 1i /10

= 3 / 10 - 1i / 10

I hope my answer is correct.