document.write( "Question 1095680: If x+y=4,xy=2 THEN X^6+Y^6=?
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Algebra.Com's Answer #710238 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Step 1.\r\n" );
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document.write( "    If x+y = 4 and xy = 2 then   =  =  = 16 - 4 = 12.\r\n" );
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document.write( "Step 2. \r\n" );
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document.write( "    Thus we proved that   = 12.  It implies further\r\n" );
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document.write( "     =  =  = .\r\n" );
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document.write( "    In the last expression, replace x^2*y^2 by  = 4  and  replace  by 12. \r\n" );
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document.write( "    Then you can continue this chain of equalities in this way\r\n" );
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document.write( "     =  =  =  =  = .\r\n" );
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document.write( "    Thus   =  = 1584.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer.   . . . then $\"x%5E6%2By%5E6\"$ = 1584.\r
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\n" ); document.write( "For similar solved problems, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO evaluate expressions involving $\"%28x+%2B+1%2Fx%29\"$ , $\"%28x%5E2%2B1%2Fx%5E2%29\"$ and $\"%28x%5E3%2B1%2Fx%5E3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "    - Advanced lesson on evaluating expressions\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Evaluation, substitution\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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