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raketka [301]
3 years ago
9

Simplify and write your answer in the form a+bi.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i

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Answer:

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Step-by-step explanation:

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3 years ago
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