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Question

If xy+yx=1 then find x3y3
  1. -1
  2. 2
  3. 0
  4. 1


Solution

The correct option is C 0
We know that,
x³-y³=(x-y)(x²+xy+y²) ........(1)
Given that,
xy+yx= -1

x²+y²xy=1

x²+y²=xy
Adding xy on both sides, we get 
x²+y²+xy=0 

Substituting in 1 we get,
x³-y³=(x-y)(0)
 x³-y³= 0

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