Question

Perform the indicated operations. Write the answer in standard form, a+bi.
-4+4i / -3-6i

Answer 1

`( - 4 + 4i)/( - 3 - 6i) \\ multiply \: and \: divide \: by \: - 3 + 6i \\ ( - 4 + 4i)/( - 3 - 6i) * ( - 3 + 6i)/( - 3 + 6i) \\ = ( ( - 4 + 4i)( - 3 + 6i))/( ( - 3 - 6i)( - 3 + 6i)) \\ = \frac{12 - 24i - 12i + 24 {i}^(2) }{ {( - 3)}^(2) - {(6i)}^(2) } \\ = (12 - 24 - 36i)/(9 + 36) \\ = ( - 12 - 36i)/(45) \\ ( - 36i)/(45) + ( - 12)/(45) \\ thank \: you`