exam Maths Puzzle Numerical Ability

assignment is to simplify this expression: (3-i)^-2

i get as far as 1/(9-6i+i^2)

answers sheet says correct answer is (4+3i)/50

can you help me figure out how to get that answer?

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exam Other Question

One pump can fill a water tank in 25 minutes. Another pump can fill the same tank in 50 minutes. If the first pump is open for 5 minutes before the second is opened, how long will it take to fill the tank? graph the following equations

(a) y =2x
(b) y=x + 1

(c) y=-x+3
(d) y= 2x+1