document.write( "Question 1082433: X+y=a and x2+y2=b then value of x3+y3 will be \n" ); document.write( "

Algebra.Com's Answer #696512 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "You are given\r\n" );
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document.write( "x + y = a,           (1)\r\n" );
document.write( " = b           (2)\r\n" );
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document.write( "You are asked to find the value of .\r\n" );
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document.write( "Square the equality (1) (both sides). You will get\r\n" );
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document.write( " = .     (3)\r\n" );
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document.write( "Subtract (2) from (3) (both sides). You will get\r\n" );
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document.write( "2xy = .         (4)\r\n" );
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document.write( "Now we are ready to evaluate .\r\n" );
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document.write( "   =        (I suppose you know this classic/basic factoring)\r\n" );
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document.write( "=                  (I just replaced the factor x+y by its value a, according to (1))\r\n" );
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document.write( "=                 (I just replaced  by 'b' and replaced  xy  by  , due to (4) )\r\n" );
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document.write( "=  = .\r\n" );
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