document.write( "Question 1208348: Divide (x^5 - a^5) by (x - a)\r
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\n" ); document.write( "\n" ); document.write( "Here is my set up:\r
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\n" ); document.write( "\n" ); document.write( "(x^5 + 0x^4 + 0x^3 + 0x^2 + 0x - a^5)/(x - a)\r
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\n" ); document.write( "\n" ); document.write( "Is this correct?
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Algebra.Com's Answer #846716 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "        It is correct, but it is not a solution and does not lead to the solution.\r
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document.write( "The solution is this identity\r\n" );
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document.write( "    \"%28x%5E5-a%5E5%29%2F%28x-a%29\" = \"x%5E4+%2B+a%2Ax%5E3+%2B+a%5E2%2Ax%5E2+%2B+a%5E3%2Ax+%2B+a%5E4\".\r\n" );
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document.write( "This identity is well known, and it is assumed that a person, to whom this assignment is given, knows it.\r\n" );
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document.write( "This knowledge is the prerequisite for solving this problem.\r\n" );
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document.write( "From your post, I see that you did not know this identity, so you had no the necessary prerequisite.\r\n" );
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document.write( "But after reading my solution, you just know it.\r\n" );
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document.write( "My congratulation.\r\n" );
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document.write( "You may check this identity above by making multiplication.\r\n" );
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document.write( "    (x-a)*(x^4 + a*x^3 + a^2*x^2 + a^^3*x + a^4)) = x^5 - a^5.\r\n" );
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