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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Do you know what the conjugate of the denominator is?
nope
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. \[\frac{ (3-2i)(1-4i) }{ (1+4i)(1-4i) }\]

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Other answers:

then foil both

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