Express the given complex number in the form $a + ib: (\dfrac{1}{5}+i\dfrac{2}{5})-(4+i\dfrac{5}{2})$

Question

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$(\dfrac{1}{5}+i\dfrac{2}{5})-(4+i\dfrac{5}{2})$$=(\dfrac{1}{5}-4)+i(\dfrac{2}{5})-\dfrac{5}{2})$$=-\dfrac{19}{5}+i(\dfrac{-21}{10})$$=-\dfrac{19}{5}-\dfrac{21}{10}i$  (Ans.)

Solution and Explanation

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