document.write( "Question 207791: 2
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Algebra.Com's Answer #157171 by jim_thompson5910(35256)\"\" \"About 
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\"%282%29%2F%283-i%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282%29%2F%283-i%29%29%28%283%2Bi%29%2F%283%2Bi%29%29\" Multiply the fraction by \"%283%2Bi%29%2F%283%2Bi%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282%29%283%2Bi%29%29%2F%28%283-i%29%283%2Bi%29%29\" Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282%29%283%29%2B%282%29%28i%29%29%2F%28%283-i%29%283%2Bi%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%2B2i%29%2F%289%2B3i-3i-i%5E2%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%286%2B2i%29%2F%289%2B3i-3i-%28-1%29%29\" Replace \"i%5E2\" with -1\r
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\n" ); document.write( "\n" ); document.write( "\"%286%2B2i%29%2F%289%2B3i-3i%2B1%29\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"%286%2B2i%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%282%29%2F%2810%29%29i\" Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"3%2F5%2B%281%2F5%29i\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So \"%282%29%2F%283-i%29=3%2F5%2B%281%2F5%29i\".\r
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\n" ); document.write( "\n" ); document.write( "So the expression is now in standard form \"a%2Bbi\" where \"a=3%2F5\" and \"b=1%2F5\"\r
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