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

 Jan 14, 2024
 #1
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First compute the denom  ....I will ASSUME both of the right terms are in the denominator thusly: 

(1+i) / ( (2-i)(3+i) ) 

 

(2-i)(3+i) = 

6 + 2i -3i - i^2 

6 - i +1

7 - i 

 

now you have 

 

(1+i) / (7-i)             multiply by   ( 7+i)  / (7+i)  to get 

(6+8i)/ 50     which reduces to    (3+4i)/25

 Jan 14, 2024
edited by ElectricPavlov  Jan 14, 2024

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