document.write( "Question 294966: divide the complex numbers and write the final answer in the form a+bi\r
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Algebra.Com's Answer #212627 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28-10%2Bi%29%2F%282%2Bi%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28-10%2Bi%29%2F%282%2Bi%29%29%28%282-i%29%2F%282-i%29%29\" Multiply the fraction by \"%282-i%29%2F%282-i%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28-10%2Bi%29%282-i%29%29%2F%28%282%2Bi%29%282-i%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( "\"%28-20%2B10i%2B2i-i%5E2%29%2F%284-2i%2B2i-i%5E2%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-20%2B10i%2B2i-%28-1%29%29%2F%284-2i%2B2i-%28-1%29%29\" Replace \"i%5E2\" with -1.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-19%2B12i%29%2F%285%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-19%29%2F%285%29%2B%28%2812%29%2F%285%29%29i\" Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"-19%2F5%2B%2812%2F5%29i\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28-10%2Bi%29%2F%282%2Bi%29=-19%2F5%2B%2812%2F5%29i\" which is in standard form \"a%2Bbi\" where \"a=-19%2F5\" and \"b=12%2F5\"
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