(12+34i) and (12−34i) divided by (2−3i)
(12 + 34i)(12 - 34i) =
144 - 1156i^2 =
144 - 1156(-1) =
144 + 1156 =
1300
And
1300 / (2-3i) multiply top and bottom by the conjugate of 2 - 3i
1300(2 + 3i) / [ (2 - 3i)(2 + 3i) =
1300(2 + 3i) / ( 4 - 9i^2)
1300(2 + 3i) / 13 =
2600/13 + 3900i / 13 =
200 + 300i
(12+34i) and (12−34i) divided by (2−3i)
(12 + 34i)(12 - 34i) =
144 - 1156i^2 =
144 - 1156(-1) =
144 + 1156 =
1300
And
1300 / (2-3i) multiply top and bottom by the conjugate of 2 - 3i
1300(2 + 3i) / [ (2 - 3i)(2 + 3i) =
1300(2 + 3i) / ( 4 - 9i^2)
1300(2 + 3i) / 13 =
2600/13 + 3900i / 13 =
200 + 300i