document.write( "Question 1109037: If 2x=a+b+c, show that (x-a)^2 + (x+b)^2 + (x-c)^2 +x^2 = a^2 + b^2 + c^2. \n" ); document.write( "

Algebra.Com's Answer #724061 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "   (x-a)^2 + (x+b)^2 + (x-c)^2 +x^2  =  (open parentheses) = \r\n" );
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document.write( "=  (collect like terms linear in  \"x\" ) = \r\n" );
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document.write( "= (next use the given identity) = a^2 + b^2 + c^2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "QED.\r
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