Question

PLEASE HELP ME!!!! 20 PNTS!!!!!

Simplify the expression:

`( √( - 16) )/((3 - 3i) + (1 - 2i))`
A.

`( - 20 - 16i)/(9)`
B.

`(8 + 4i)/(15)`
C.

`(8 - 4i)/(15)`
D.

`( - 20 + 16i)/(41)`

Answer 1

`(√(-16))/((3-3i)+(1-2i))\\\\(4i)/(4-5i)*(4+5i)/(4+5i)\\\\(4i(4+5i))/((4-5i)(4+5i))\\\\(16i+20i^(2))/(16+20i-20i-25i^(2))\\\\(-20+16i)/(16+25)\\\\\\(-20+16i)/(41)`