For those who don't know Part 7 (Determinants)

Algebra Level 3

xyyx(xy)(x+y)y2x2+xy(xy)(x2+xy+y2)y3x3+x2y+xy2=?\left| \begin{matrix} x-y & y & x \\ (x-y)(x+y) & { y }^{ 2 } & { x }^{ 2 }+xy \\ (x-y)({ x }^{ 2 }+xy+{ y }^{ 2 }) & { y }^{ 3 } & { x }^{ 3 }+{ x }^{ 2 }y+x{ y }^{ 2 } \end{matrix} \right| = \text{?}

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