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Express (4+2i)/(1-2i) +(3+4i)/(2+3i) in ...

Express `(4+2i)/(1-2i) +(3+4i)/(2+3i)` in the form `a+ib, a in R b in R`

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`(4+2i)/(1-2i) +(3+4i)/(2+3i)`
`((4+2i)(1+2i))/((1-2i)(1+2i))+((3+4i)(2-3i))/((2+3i)(2-2i))`
`=((4-4)+i(2+8))/(i^(2)-(2i)^(2))+((6+12)+i(8-9))/(2^(2)-(3i)^(2))`
`=(10i)/(5)+(18-i)/(13)=(90+125i)/(65)`
`=(18)/(13)+(25)/(i)`
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