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Question

Consider a,b,c : real numbers. X=a+bab,Y=b+cbc,Z=c+aca . The value of XY+YZ+XZ is___

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Solution

Assume a=1, b=2, c=3

X=-3Y=-5Z=2

XY+YZ+XZ = 15-10-6 = -1


Assume a=2,b=3 and c=4

X= -5Y= -7Z= 3

XY+YZ+XZ= 35-21-15= -1


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