Question

(1-2i)(-2+i)/3i(1-i)
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Answer 1

Respuesta:

Explicación paso a paso:

1.66666667-1.66666667 i

Answer 2

Explicación paso a paso:

$\frac{(1 - 2i)( - 2 + i)}{3 i(1 - i)} = \frac{ - 2 + i - 4i - 2 {i}^{2} }{3i - 3 {i}^{2} } = \frac{ - 2 - 3i + 2}{ 3i + 3} = \frac{ - 3i}{3 + 3i} \times \frac{3 - 3i}{3 - 3i} = \frac{ - 9i + 9{i}^{2} }{9 - 9 {i}^{2} } = \frac{ - 9i - 9}{9 + 9} = \frac{ - 9i + 9}{18} = \frac{1 - i}{2}$