document.write( "Question 86392: 
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document.write( "Can you please help me factor this expression?\r\n" );
document.write( "a5 + b5.\r\n" );
document.write( "Thank you so much for your help.
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Algebra.Com's Answer #62499 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Can you please help me factor this expression?\r\n" );
document.write( "a5 plus b5.\r\n" );
document.write( "Thank you so much for your help.\r\n" );
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document.write( "Divide a5 + b5 by a+b.\r\n" );
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document.write( "To do this you have to write a5 + b5 as\r\n" );
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document.write( "a5 + 0a4b + 0a3b2 + 0a2b3 + 0ab4 + b5\r\n" );
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document.write( "     _______a4  -  a3b  +  a2b2 -  ab3 + b4\r\n" );
document.write( "a + b)a5 + 0a4b + 0a3b2 + 0a2b3 + 0ab4 + b5\r\n" );
document.write( "      a5 +  a4b\r\n" );
document.write( "           -a4b + 0a3b2\r\n" );
document.write( "           -a4b -  a3b2\r\n" );
document.write( "                   a3b2 + 0a2b3\r\n" );
document.write( "                   a3b2 +  a2b3\r\n" );
document.write( "                          -a2b3 + 0ab4\r\n" );
document.write( "                          -a2b3 -  ab4\r\n" );
document.write( "                                   ab4 + b5\r\n" );
document.write( "                                   ab4 + b5\r\n" );
document.write( "                                          0\r\n" );
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document.write( "That means the factorization is:\r\n" );
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document.write( "(a + b)(a4 - a3b + a2b2 - ab3 + b4) \r\n" );
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document.write( "Instead of dividing it out each time, you can just learn the\r\n" );
document.write( "pattern for odd n:\r\n" );
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document.write( "an - bn factors as (a - b)(sum of all terms aPbQ where P+Q = n)\r\n" );
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document.write( "an + bn factors as (a + b)(sum with alternating signs of all terms aPbQ where P+Q=n)\r\n" );
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document.write( "Edwin
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