Express the following in the form of (a+ib): 1. (3+2i)(2+3i)/(1+2i)(2-i) Share with your friends Share 1 Manbar Singh answered this 3+2i2 + 3i1 + 2i2 - i=6 + 9i + 4i + 6i22 - i + 4i - 2i2 as, i2 = -1=6 + 13i - 62 + 3i + 2=13i4 + 3i=13i4 + 3i × 4 - 3i4- 3i=52i - 39i242 - 3i2=52i + 3916 + 9=3925 + i 5225= a + ib, where a =3925 ; b = 5225 3 View Full Answer Abantika Ghosh answered this (3+2i)(2+3i)/(1+2i)(2-i) = (6-6 +13i)/( 2+2 +4i-i ) =13i/4+3i =13i(4-3i)/16-9i2 =52i- 39i2/25 =39+52i / 25 =(39/25) + (52/25)i so, it is expressed as the form of a+ib where a = 39/25 and b =52/25 1