<PRE><B>Question 91635</B>
*[Tex \LARGE (4+1i)(6+7i)] Start with the given expression


*[Tex \LARGE (4)(6)+(4)(7i)+(6)(1i)+(1i)(7i)] Foil


*[Tex \LARGE 24+28i+6i+7i^2] Multiply


*[Tex \LARGE 24+28i+6i+7(-1)] Evaluate {{{i^2}}} to get -1


*[Tex \LARGE 24+28i+6i-7] Multiply


*[Tex \LARGE 17+34i] Combine like terms. So it is now in {{{a+bi}}} form where {{{a=17}}} and {{{b=34}}}
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