Factors {x}^(4) - {y}^(4) + {x}^(3) - {y}^(3) + {x}^(3) y - x {y}^(3) ​

Question

Factors


`{x}^(4) - {y}^(4) + {x}^(3) - {y}^(3) + {x}^(3) y - x {y}^(3)`

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Answer 1

(x+1+y)(x-y)(x *2* + xy + y*2*).
and the *2* is the power of 2