document.write( "Question 460861: please prove..\r
\n" ); document.write( "\n" ); document.write( "if a>b then a^3>b^3 \n" ); document.write( "

Algebra.Com's Answer #316127 by MathLover1(20850) $\"\"$ $\"About$

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$\"a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"a%5E2%2Bab%2Bb%5E2=%28%28a%2B%28b%2F2%29%29%5E2%2B3b%5E2%2F4%29\"$ \r
\n" ); document.write( "\n" ); document.write( "but if $\"a%3Eb\"$ then $\"a-b%3E0\"$ and clearly $\"a%2B%28b%2F2%29%5E2%3E0\"$ and $\"3b%5E2%2F4%3E0\"$ \r
\n" ); document.write( "\n" ); document.write( "so, $\"%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29%3E0\"$ , hence $\"a%5E3-b%5E3%3E0\"$ and $\"a%5E3%3Eb%5E3\"$
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