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Please help simplify and write your answer in the form a + bi

Please Help Simplify And Write Your Answer In The Form A Bi class=

Sagot :

Hrishiiidn

Answer:

[tex] 2 - 4i[/tex]

Step-by-step explanation:

[tex] \frac{10}{1 + 2i} \\ \\ = \frac{10}{1 + 2i} \times \frac{1 - 2i}{1 - 2i} \\ \\ = \frac{10(1 - 2i)}{ {1}^{2} - {(2i)}^{2} } \\ \\ = \frac{10 - 20i}{ {1} - {4i}^{2} } \\ \\ = \frac{10 - 20i}{ {1} - {4( - 1)} } \\ ( \because \: {i}^{2} = - 1) \\ \\ = \frac{10 - 20i}{1 + 4} \\ \\ = \frac{5(2 - 4i)}{5} \\ \\ = 2 - 4i[/tex]

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