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

Simplify the expression:
[tex] \frac{ \sqrt{ - 16} }{(3 - 3i) + (1 - 2i)} [/tex]
A.
[tex] \frac{ - 20 - 16i}{9} [/tex]
B.
[tex] \frac{8 + 4i}{15} [/tex]
C.
[tex] \frac{8 - 4i}{15} [/tex]
D.
[tex] \frac{ - 20 + 16i}{41} [/tex]

Respuesta :

Apocrophon
[tex]\frac{\sqrt{-16}}{(3-3i)+(1-2i)}\\\\\frac{4i}{4-5i}*\frac{4+5i}{4+5i}\\\\\frac{4i(4+5i)}{(4-5i)(4+5i)}\\\\\frac{16i+20i^{2}}{16+20i-20i-25i^{2}}\\\\\frac{-20+16i}{16+25}\\\\\\\frac{-20+16i}{41}[/tex]

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