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Falling_In_Katt

  • one year ago

Simplify the complex number. Express your answer in a + bi form and include each step necessary in simplifying. \[\frac{ 3-2i }{ 1+4i }\]

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  1. anonymous
    • one year ago
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    Do you know what the conjugate of the denominator is?

  2. Falling_In_Katt
    • one year ago
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    nope

  3. anonymous
    • one year ago
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    change the sign in front of the imaginary part, so the conjugate is 1-4i. multiply both numerator and denominator by it to get rid of the i in the denominator. \[\frac{ (3-2i)(1-4i) }{ (1+4i)(1-4i) }\]

  4. anonymous
    • one year ago
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    then foil both

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