document.write( "Question 315734: write in a+bi form\r
\n" ); document.write( "\n" ); document.write( "1). \"%284%2B5i%29%2F%286%2Bi%29\"\r
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Algebra.Com's Answer #225884 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Write the following expressions as a complex number in standard form.
\n" ); document.write( "1). \"%284%2B5i%29%2F%286%2Bi%29\"
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document.write( "Form the conjugate of \"6%2Bi\" by changing the sign of the term\r\n" );
document.write( "containing \"i\" and leaving the sign of the first term.\r\n" );
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document.write( "Thus the conjugate of \"6%2Bi\" is \"6-i\".\r\n" );
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document.write( "Place that conjugate over itself, like this \"%28%286-i%29%2F%286-i%29%29\",\r\n" );
document.write( "which just equals 1, and so we can now multiply the original\r\n" );
document.write( "expression by that without changing its value:\r\n" );
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document.write( "\"%28%284%2B5i%29%2F%286%2Bi%29%29\"\"%28%286-i%29%2F%286-i%29%29\"\r\n" );
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document.write( "\"%28+%284%2B5i%29%286-i%29+%29+%2F+%28+%286%2Bi%29%286-i%29+%29\"\r\n" );
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document.write( "Using FOIL on top and bottom:\r\n" );
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document.write( "\"+%2824-4i%2B30i-5i%5E2%29%2F%2836-6i%2B6i-i%5E2%29\"\r\n" );
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document.write( "Combining like terms (the middle terms cancel in the bottom)\r\n" );
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document.write( "\"+%2824%2B26i-5i%5E2%29%2F%2836-i%5E2%29\"\r\n" );
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document.write( "Replace \"i%5E2\" by \"-1\"\r\n" );
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document.write( "\"+%2824%2B26i-5%28-1%29%29%2F%2836-%28-1%29%29\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"+%2824%2B26i%2B5%29%2F%2836%2B1%29\"\r\n" );
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document.write( "\"+%2829%2B26i%29%2F37\"\r\n" );
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document.write( "Make two fractions, and write the \"i\" as multiplied on the right of\r\n" );
document.write( "the second fraction, so it will be in the standard form \"A%2BBi\":\r\n" );
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document.write( "\"29%2F37\"\"%22%2B%22\"\"26%2F37\"\"i\"\r\n" );
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document.write( "---------------\r\n" );
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document.write( "2). \"14%2Fi\"\r\n" );
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document.write( "You only need to multiply that by \"i%2Fi\"\r\n" );
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document.write( "\"%2814%2Fi%29\"\"%28i%2Fi%29\"\r\n" );
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document.write( "\"%2814i%29%2Fi%5E2\"\r\n" );
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document.write( "Replace the \"i%5E2\" by \"-1\"\r\n" );
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document.write( "\"%2814i%29%2F%28-1%29\"\r\n" );
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document.write( "\"-14i\"\r\n" );
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document.write( "Edwin

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