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Verified Answer :

charlottekrist
  1. Rationalise the denominator 
    (20+10i+10i-5)/2^2-i^2

    2. Collect like terms
    ((20-5)+(10i+10i))/2^2-i^2

    3. Simplify (20-5)+(10i+10i) to 15+20i
    15+20i/2^2-i^2

    4. Simplify 2^2 to 4
    15+20i/4-i^2

    5. Use square rule
    15+20i/4-(-1)

    6. Simplify brackets
    15+20i/4+1

    7. Simplify 4+1 to 4
    15+20i/5

    8. Factor out the common term 5
    5(2+4i)/5

    9. Cancel 5
    3+4i

    10. Your final answer
    3+4i

    Have a nice day ;D
MATHGURU17

10+5i/2-i

=3+4i
if you take out the parenthesis