Is the work shown below correct? Explain your answer.(11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 – 8i

Answer:

The work shown is not correct. When distributing the negative sign to the expression (3 10i), the sign of every term inside the parentheses must change. The 10i should have become 10i. Therefore, the expression should have been 11 2i 3 10i, which simplifies to (11 3) (2i 10i) 8 12i.