Write the complex number in standard form the problem is act

Write the complex number in standard form:
the problem is actually (3-2i) to the second power:
(3-2i)^2 (times) (3+2i) all over (5-i)

Solution

( 3-2i )2 * ( 3 - 2i ) /( 5 - i ) =

( 9 + 4 - 6i ) ( 3 - 2i ) / ( 5 - i) =

( 39 - 18i -26i-12) /(5 -i) =

( 27 - 44i ) /(5 - i ) =

(27 -44i ) ( 5 + i ) / ( 5 -i) ( 5 + i) =

( 135 - 220i +27i+44) / 26

179/26 +7/26 i