anonymous
  • anonymous
Simplify the expression. (–2 – 2i)(–4 + 6i) >8 – 4i >8 – 12i >20 – 4i >–4 – 4i
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Do you know the value for i (iota) ?
anonymous
  • anonymous
just multiply everything and you should get the answer (i*i=-1)
UnkleRhaukus
  • UnkleRhaukus
\[\quad(–2 – 2i)(–4 + 6i) \] \[=-2(–4 + 6i) -2i(-4+6i)\]

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anonymous
  • anonymous
\[\large{(-2-2i)(-4+6i)}\] \[\large{-2(-4) -2i(-4) -2(6i) -2i(6i)}\] \[\large{8 + 8 i - 12 i -12i^2}\]
anonymous
  • anonymous
>–4 – 4i
anonymous
  • anonymous
Now since : \[\large{ i = \sqrt{-1} }\] Therefore, \[\large{i^2 = (\sqrt{-1})^2 = -1 }\]
anonymous
  • anonymous
Solving this we get : 8 - 4i - 12 = -4-4i
anonymous
  • anonymous
Therefore the answer is : >-4-4i
anonymous
  • anonymous
thank you all so much, i've got it now! @SheldonEinstein @surdawi
anonymous
  • anonymous
Nice!
UnkleRhaukus
  • UnkleRhaukus
mistake !
anonymous
  • anonymous
20 -4i
anonymous
  • anonymous
Sorry it will be : \[\large{8 + 12 - 4i = 20 -4i}\]
anonymous
  • anonymous
I am REALLY VERY VERY SORRY for that... Thanks @UnkleRhaukus for pointing it out.
UnkleRhaukus
  • UnkleRhaukus
\[-12i^2=+12\]
anonymous
  • anonymous
Yeah

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