document.write( "Question 1107842: x+y+z =0 then find the value of (x+y)(y+z)(x+z)/xyz +11 \n" ); document.write( "
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x+y+z =0 then find the value of (x+y)(y+z)(x+z)/xyz +11
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\n" ); document.write( "\n" ); document.write( "ans: 10
\n" ); document.write( " ( x,y, and z each nonzero )\r
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\n" ); document.write( "\n" ); document.write( "x+y+z=0 —> -x = y+z, -y = x+z, -z = x+y\r
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\n" ); document.write( "(x+y)(y+z)(x+z)/xyz +11\r
\n" ); document.write( "\n" ); document.write( "can be re-written:
\n" ); document.write( "(-z)(-x)(-y)/(xyz) + 11 = -1 + 11 = 10, so long as x,y,and z are each nonzero.\r
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