2014 Singapore MO (Junior Rd 1) Problem 31

2014 SMO (Junior-Rd1) 31. If ax + by = 7, ax^2 + by^2 = 49, ax^3 + by^3 = 133, ax^4 + by^4 = 406, find the value of 2014(x+y-xy) - 100(a+b).

 

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