document.write( "Question 303828: what is the standard form of the expression 2-5i/4+2i? and i need to know how to work it out \n" ); document.write( "
Algebra.Com's Answer #217687 by jim_thompson5910(35256)\"\" \"About 
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\"%282-5i%29%2F%284%2B2i%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282-5i%29%2F%284%2B2i%29%29%28%284-2i%29%2F%284-2i%29%29\" Multiply the fraction by \"%284-2i%29%2F%284-2i%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28%282-5i%29%284-2i%29%29%2F%28%284%2B2i%29%284-2i%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( "\"%288-4i-20i%2B10i%5E2%29%2F%2816-8i%2B8i-4i%5E2%29\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"%288-4i-20i%2B10%28-1%29%29%2F%2816-8i%2B8i-4%28-1%29%29\" Replace \"i%5E2\" with -1.\r
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\n" ); document.write( "\n" ); document.write( "\"%288-4i-20i-10%29%2F%2816-8i%2B8i%2B4%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%28-2-24i%29%2F%2820%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28-2%29%2F%2820%29%2B%28%28-24%29%2F%2820%29%29i\" Break up the fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"-1%2F10-%286%2F5%29i\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So \"%282-5i%29%2F%284%2B2i%29=-1%2F10-%286%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=-1%2F10\" and \"b=-6%2F5\"\r
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