Question 1107842
x+y+z  =0 then find the value of (x+y)(y+z)(x+z)/xyz +11
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ans: <b>10</b>
 ( x,y, and z each nonzero )

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x+y+z=0 —>   -x = y+z,   -y = x+z,  -z = x+y

So
(x+y)(y+z)(x+z)/xyz +11

can be re-written: 
(-z)(-x)(-y)/(xyz) + 11 =  -1 + 11 = 10,  so long as x,y,and z are each nonzero.