document.write( "Question 1086326: a/b=c/d=e/f, a^3+c^3+e^3/b^3+d^3+f^3=? \n" ); document.write( "

Algebra.Com's Answer #700545 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "    In mathematics, a  lemma (a \"helping theorem\") is a proved proposition which is used as a stepping stone \r\n" );
document.write( "    to a larger result rather than as a statement of interest by itself. \r\n" );
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document.write( "Lemma 1.  \r\n" );
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document.write( "    If  =  then  =  = .\r\n" );
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document.write( "        Proof. Let  =  = k. Then\r\n" );
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document.write( "               a = b*k,  c = d*k  and   =  =  = k =  = .\r\n" );
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document.write( "        The lemma is proved.\r\n" );
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document.write( "Lemma 2. \r\n" );
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document.write( "    If  =  =   then   =  = .\r\n" );
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document.write( "       The proof is obvious.\r\n" );
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document.write( "Major statement.   = .\r\n" );
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document.write( "    Proof. It follows IMMEDIATELY Lemma 1  and  Lemma 2.\r\n" );
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