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32 votes
32 votes
Express the following division in the form of a + bi: (1+3i)(2+i)

User Pagliuca
by
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1 Answer

19 votes
19 votes

Answer:


(1 + i\,3) \cdot (2 + i) = -1 + i\,7

Explanation:

We proceed to present the procedure by algebraic means:

1)
(1 + i\,3)\cdot (2 + i) Given

2)
2\cdot (1 + i\,3) + i\,(1+i\,3) Distributive and Commutative Properties

3)
2 + i\,6 + i + i^(2) \,3 Distributive, Commutative and Associative Properties

4)
2 + i\,7 -3 Definition of imaginary number/Distributive, Commutative and Associative Properties

5)
-1 + i\,7 Commutative and Associative Properties

User Kabrice
by
2.7k points
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