document.write( "Question 297082: Please help me solve this equation: 2+6i \ 3-3i \n" ); document.write( "
Algebra.Com's Answer #213962 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"%282%2B6i%29%2F%283-3i%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282%2B6i%29%2F%283-3i%29%29%28%283%2B3i%29%2F%283%2B3i%29%29\" Multiply the fraction by \"%283%2B3i%29%2F%283%2B3i%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282%2B6i%29%283%2B3i%29%29%2F%28%283-3i%29%283%2B3i%29%29\" Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( " FOIL the numerator.\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%2B6i%2B18i%2B18i%5E2%29%2F%289%2B9i-9i-9i%5E2%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%286%2B6i%2B18i%2B18%28-1%29%29%2F%289%2B9i-9i-9%28-1%29%29\" Replace \"i%5E2\" with -1.\r
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\n" ); document.write( "\n" ); document.write( "\"%286%2B6i%2B18i-18%29%2F%289%2B9i-9i%2B9%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-12%2B24i%29%2F%2818%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-12%29%2F%2818%29%2B%28%2824%29%2F%2818%29%29i\" Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"-2%2F3%2B%284%2F3%29i\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So \"%282%2B6i%29%2F%283-3i%29=-2%2F3%2B%284%2F3%29i\" which is now in \"a%2Bbi\" form where \"a=-2%2F3\" and \"b=4%2F3\".
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