document.write( "Question 1005817: Prove that if a>b>0 then a^3>b^3 \n" ); document.write( "
Algebra.Com's Answer #622003 by AnlytcPhil(1806)\"\" \"About 
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document.write( "\"a%5E3\"\"%22%22%3E%22%22\"\"b%5E3\"\r\n" );
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document.write( "\"a%5E3-b%5E3\"\"%22%22%3E%22%22\"\"0\"\r\n" );
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document.write( "\"%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29\"\"%22%22%3E%22%22\"\"0\"\r\n" );
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document.write( "The products and sums of positive \r\n" );
document.write( "number are positive, therefore\r\n" );
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document.write( "Since a > b then a-b > 0\r\n" );
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document.write( "Since a > 0 and b > 0 then a2 > 0, b2 > 0, and ab > 0.\r\n" );
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document.write( "\"%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29\" is positive or\r\n" );
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document.write( "\"%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29\"\"%22%22%3E%22%22\"\"0\"\r\n" );
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document.write( "Edwin

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