Express each of the following in a + ib form. (i) (6+3i)/(2-i)

Question

Express each of the following in a + ib form.

(i) \(\frac{6+3i}{2-i}\)

(ii) \(\frac{(3-2i)(2 + 3i)}{(1+2i)(2-i)}\)

Answer 1

(i) 

(ii)

= \(\frac{36 - 16 i}{25} = \frac{63}{25 } - \frac{16i}{25}\)