document.write( "Question 529806: Simplify 5
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Algebra.Com's Answer #349739 by jim_thompson5910(35256)\"\" \"About 
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\"%285%29%2F%282%2B4i%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%285%29%2F%282%2B4i%29%29%28%282-4i%29%2F%282-4i%29%29\" Multiply the fraction by \"%282-4i%29%2F%282-4i%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%285%29%282-4i%29%29%2F%28%282%2B4i%29%282-4i%29%29\" Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-20i%29%2F%28%282%2B4i%29%282-4i%29%29\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-20i%29%2F%28%282%29%282%29%2B%282%29%28-4i%29%2B%284i%29%282%29%2B%284i%29%28-4i%29%29\" FOIL the denominator.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-20i%29%2F%284-8i%2B8i-16i%5E2%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-20i%29%2F%284-8i%2B8i-16%28-1%29%29\" Replace {{i^2}}} with -1.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-20i%29%2F%284-8i%2B8i%2B16%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810-20i%29%2F%2820%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%2810%29%2F%2820%29%2B%28%28-20%29%2F%2820%29%29i\" Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F2-i\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So \"%285%29%2F%282%2B4i%29=1%2F2-i\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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