Question

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

Answer 1

No, because $-(3-10i)=-3+10i$

Answer 2

Answer:

Given that: $(11+2i)-(3-10i)$

Remove the parentheses, we have;

$11+2i-3+10i$

Like terms are those terms which have same variables to the same power.

Combine like terms of a constant variable;

$(11-3) +2i+10i$

Similarly, combine like terms of imaginary part, we have;

$(11-3) +(2i+10i)$

Simplify:

$8 +(12i)$

or

$8+12i$

Therefore, the correct solution of $(11+2i)-(3-10i)$ = $8+12i$