document.write( "Question 160204: i am unsure of how to cube a simple complex number, please help! : \"+%281-i%29%5E3+\" \n" ); document.write( "
Algebra.Com's Answer #118128 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"+%281-i%29%5E3+\"
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document.write( "Write it down three times as a factor:\r\n" );
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document.write( "\"+%281-i%29%281-i%29%281-i%29+\"\r\n" );
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document.write( "Use FOIL on the first and second factors, leaving the\r\n" );
document.write( "third alone for the moment:\r\n" );
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document.write( "\"+%281-i-i%2Bi%5E2%29%281-i%29+\"\r\n" );
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document.write( "Now combine the \"-i-i\" as \"-2i\"\r\n" );
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document.write( "\"%281-2i%2Bi%5E2%29%281-i%29+\"\r\n" );
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document.write( "Now replace the \"i%5E2\" by \"-1\"\r\n" );
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document.write( "\"%281-2i%2B%28-1%29%29%281-i%29+\"\r\n" );
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document.write( "\"+%281-2i-1%29%281-i%29+\"\r\n" );
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document.write( "The 1 and the -1 cancel out:\r\n" );
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document.write( "\"+%28-2i%29%281-i%29+\"\r\n" );
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document.write( "Distribute:\r\n" );
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document.write( "\"-2i%2B2i%5E2\"\r\n" );
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document.write( "Now replace the \"i%5E2\" by \"-1\"\r\n" );
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document.write( "\"-2i%2B2%28-1%29\"\r\n" );
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document.write( "\"-2i-2\"\r\n" );
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document.write( "Write in standard order:\r\n" );
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document.write( "\"-2-2i\"\r\n" );
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document.write( "Edwin
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