Solution for Problem 1.5.2

Perform indicated operation.     (6 - 3i) - (-5 + i)
Write in standard form. a + bi .    

Solve

Step

  (6 - 3i) - (-5 + i) =  6 - 3i + 5 - i  Remove Parenthesis first by distributing the minus sign across the parenthesis.
= 6 - 3i + 5 - i = 11 - 3i - i Add REAL part with REAL part 
= 11 - 3i - i = 11 - 4i Add IMAGINARY part with IMAGINARY part 
= 11 - 4i standard form: a + bi .