Express the given complex number in the form | vedclass

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Question

(A) Given expression: $\left(\frac{1}{5}+i \frac{2}{5}\right)-\left(4+i \frac{5}{2}\right)$ $= \frac{1}{5} + i \frac{2}{5} - 4 - i \frac{5}{2}$ $= \le

Vedclass · Accepted Answer

$\frac{-19}{5}-\frac{21}{10}i$

Vedclass · Answer

(A) Given expression: $\left(\frac{1}{5}+i \frac{2}{5}\right)-\left(4+i \frac{5}{2}\right)$ $= \frac{1}{5} + i \frac{2}{5} - 4 - i \frac{5}{2}$ $= \left(\frac{1}{5} - 4\right) + i \left(\frac{2}{5} - \frac{5}{2}\right)$ $= \left(\frac{1-20}{5}\right) + i \left(\frac{4-25}{10}\right)$ $= \frac{-19}{5} + i \left(\frac{-21}{10}\right)$ $= \frac{-19}{5} - \frac{21}{10}i$

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

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