document.write( "Question 1040720: if a:b = b:c, show that a^2b^2c^2(1/a^2 + 1/b^2 + 1/c^2) = a^3 + b^3 + c^3. \n" ); document.write( "

Algebra.Com's Answer #655635 by robertb(5830) $\"\"$ $\"About$

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The statement is not true.\r
\n" ); document.write( "\n" ); document.write( "Let a = 2, b = 3, and c = 4.5.\r
\n" ); document.write( "\n" ); document.write( "Then a:b = b:c, or $\"a%2Fb+=+b%2Fc\"$ .\r
\n" ); document.write( "\n" ); document.write( "Now

.\r
\n" ); document.write( "\n" ); document.write( "But...\r
\n" ); document.write( "\n" ); document.write( " $\"a%5E3+%2B+b%5E3+%2B+c%5E3+=+2%5E3%2B3%5E3%2B4.5%5E3+=+126.125\"$ .\r
\n" ); document.write( "\n" ); document.write( "(And there's even a simpler example: a = 1, b = 2, and c = 4.) \n" ); document.write( "

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