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

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`