document.write( "Question 181600: Okay this is my last question.
\n" ); document.write( "on this it says...\r
\n" ); document.write( "\n" ); document.write( "\"%2814-2i%29%2F%283%2Bi%29\"\r
\n" ); document.write( "\n" ); document.write( "I don't know if that makes sense to you
\n" ); document.write( "But I think I learned something about taking the conjucate of 3+i which is 3-1, but I dont know where to go from there, or if im even doing it right.
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Algebra.Com's Answer #136211 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%2814-2i%29%2F%283%2Bi%29\"\r\n" );
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document.write( "Form the conjugate of the denominator, \"3%2Bi\", which is \"3-i\".\r\n" );
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document.write( "Place \"3-i\" over itself, like this \"%283-i%29%2F%283-i%29\".\r\n" );
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document.write( "Anything divided by itself is just 1, so \"%283-i%29%2F%283-i%29\"\r\n" );
document.write( "equals 1.\r\n" );
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document.write( "When you multiply somthing by 1, it does not change the value.\r\n" );
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document.write( "Therefore we can multiply \"%2814-2i%29%2F%283%2Bi%29\" by \"%283-i%29%2F%283-i%29\"\r\n" );
document.write( "without changing the value.  So let's perform \r\n" );
document.write( "that multiplication:\r\n" );
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document.write( "\"matrix%281%2C3%2C%2814-2i%29%2F%283%2Bi%29%2C+%22%D7%22%2C+%283-i%29%2F%283-i%29%29\"\r\n" );
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document.write( "Indicate the multiplication of numerators and \r\n" );
document.write( "denominator, all as one fraction:\r\n" );
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document.write( "\"%28%2814-2i%29%283-i%29%29%2F%28%283%2Bi%29%283-i%29%29\"\r\n" );
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document.write( "Use FOIL to multiply out the numerator and denominators:\r\n" );
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document.write( "\"++%2842-14i-6i%2B2i%5E2%29%2F%289-3i%2B3i-i%5E2%29+++\" \r\n" );
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document.write( "Combine the like terms in the top.  In the bottom \r\n" );
document.write( "the middle two terms cancel, and we have\r\n" );
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document.write( "\"++%2842-20i%2B2i%5E2%29++%2F++%289-i%5E2%29++\"\r\n" );
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document.write( "Now we replace both \"i%5E2\"'s by \"-1\":\r\n" );
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document.write( "\"%2842-20i%2B2%28-1%29%29%2F%289-%28-1%29%29\"\r\n" );
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document.write( "\"%2842-20i-2%29%2F%289%2B1%29\"\r\n" );
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document.write( "\"%2840-20i%29%2F10\"\r\n" );
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document.write( "Make two fractions:\r\n" );
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document.write( "\"40%2F10-20i%2F10\"   \r\n" );
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document.write( "\"4-+2i%29\"\r\n" );
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document.write( "Edwin
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