Express the given complex number in the form \(a + ib: (\dfrac{1}{5}+i\dfrac{2}{5})-(4+i\dfrac{5}{2})\)
\((\dfrac{1}{5}+i\dfrac{2}{5})-(4+i\dfrac{5}{2})\)
\(=(\dfrac{1}{5}-4)+i(\dfrac{2}{5})-\dfrac{5}{2})\)
\(=-\dfrac{19}{5}+i(\dfrac{-21}{10})\)
\(=-\dfrac{19}{5}-\dfrac{21}{10}i\) (Ans.)