<PRE><B>Question 122888</B>
Is this the fraction {{{(3-5i)/(2+7i)}}}? And do you want to convert this into standard form?




*[Tex \LARGE \frac{3-5i}{2+7i}] Start with the given expression


*[Tex \LARGE \left(\frac{3-5i}{2+7i}\right)\left(\frac{2-7i}{2-7i}\right)] Multiply the fraction by *[Tex \LARGE \frac{2-7i}{2-7i}]. Note: {{{2-7i}}} is the complex conjugate of {{{2+7i}}}


*[Tex \LARGE \frac{-29-31i}{53}] Foil and Multiply



*[Tex \LARGE -\frac{29}{53}-\frac{31}{53}i] Break up the fraction. So it is now in {{{a+bi}}} form where {{{a=-29/53}}} and {{{b=-31/53}}}
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