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The determinant [[x,y,x+y],[y,x+y,x],[x+...

The determinant `[[x,y,x+y],[y,x+y,x],[x+y,x,y]]` is divisible by

A

x-y

B

`x^(2)-y^(2)+xy`

C

`x^(2)+xy+y^(2)`

D

`x^(2)-xy+y^(2)`

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