H4L3Y
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  • 07-09-2021
  • Mathematics
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simplify (2+2i) divided by (1-i)

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et762572
et762572 et762572
  • 09-09-2021

Answer: 2i

Step-by-step explanation:

[tex]\frac{2+2i}{1-i}[/tex]

[tex]=\frac{\left(2\cdot \:1+2\left(-1\right)\right)+\left(2\cdot \:1-2\left(-1\right)\right)i}{1^2+\left(-1\right)^2}[/tex]

[tex]=\frac{4i}{2}[/tex]

[tex]=2i[/tex]

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