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Complex numbers, simplify the following expression; 10/1+3i

User Niko B
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1 Answer

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(10)/(1 + 3i) = (10)/(1 + 3i) * (1-3i)/(1-3i) = (10-30i)/(1^(2) -(3i)^(2)) = (10-30i)/(1 -9 i^(2) ) = (10-30i)/(1 -9*(-1)) = (10(1-3i))/(1+9)= (10(1-3i))/(10)
= 1 -3i
User Sameer C
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