Relations and Functions

Relations and Functions

Question

Express each of the complex number given in the  form of  a + ib.


space space space space space space space space space space space space space space space space space space space open parentheses 1 fifth plus straight i 2 over 5 close parentheses minus open parentheses 4 plus straight i 5 over 2 close parentheses

             

Answer
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open parentheses 1 fifth plus straight i 2 over 5 close parentheses minus open parentheses 4 plus straight i 5 over 2 close parentheses equals open parentheses 1 fifth minus 4 close parentheses plus straight i open parentheses 2 over 5 minus 5 over 2 close parentheses equals fraction numerator 1 minus 20 over denominator 5 end fraction plus straight i open parentheses fraction numerator 4 minus 25 over denominator 10 end fraction close parentheses

          space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space fraction numerator negative 19 over denominator 5 end fraction plus straight i open parentheses fraction numerator negative 21 over denominator 10 end fraction close parentheses equals fraction numerator negative 19 over denominator 5 end fraction minus 21 over 10 straight i

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