document.write( "Question 1133229: Divide x^6-y^6 by x^4+x^2y^2 + y^4. \n" ); document.write( "
Algebra.Com's Answer #750416 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "  \"x%5E6+-+y%5E6\" = \"%28x%5E2%29%5E3-%28y%5E2%29%5E3\" = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Now apply the standard decomposition formula\r\n" );
document.write( "\r\n" );
document.write( "    \"a%5E3+-+b%5E3\" = \"%28a-b%29%2A%28a%5E2%2Bab+%2B+b%5E2%29\"  with  a = \"x%5E2\"  and  b = \"y%5E2\". You will get (I am continuing the chain of expressions)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "= \"%28x%5E2+-+y%5E2%29%2A%28x%5E4+%2B+x%5E2%2Ay%5E2+%2B+y%5E4%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that  \"x%5E6+-+y%5E6\"  divided by  \"x%5E4+%2B+x%5E2%2Ay%5E2+%2B+y%5E4\"  is  \"x%5E2+-+y%5E2\".    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );