document.write( "Question 253151: What is the equivalent form of 2/(3+i)? \n" ); document.write( "
Algebra.Com's Answer #185400 by jim_thompson5910(35256)\"\" \"About 
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\"2%2F%283%2Bi%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%282%2F%283%2Bi%29%29%28%283-i%29%2F%283-i%29%29\" Multiply the fraction by \"%283-i%29%2F%283-i%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%282%283-i%29%29%2F%28%283%2Bi%29%283-i%29%29\" Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282%29%283%29%2B%282%29%28-i%29%29%2F%28%283%2Bi%29%283-i%29%29\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( " FOIL the denominator.\r
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\n" ); document.write( "\n" ); document.write( "\"%286-2i%29%2F%289-3i%2B3i-i%5E2%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%286-2i%29%2F%289-3i%2B3i-%28-1%29%29\" Replace \"i%5E2\" with -1.\r
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\n" ); document.write( "\n" ); document.write( "\"%286-2i%29%2F%2810%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%286%29%2F%2810%29%2B%28%28-2%29%2F%2810%29%29i\" Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"3%2F5-%281%2F5%29i\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So \"2%2F%283%2Bi%29=3%2F5-%281%2F5%29i\".\r
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