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

Algebra Level 3

$\left| \begin{matrix} x-y & y & x \\ (x-y)(x+y) & { y }^{ 2 } & { x }^{ 2 }+xy \\ (x-y)({ x }^{ 2 }+xy+{ y }^{ 2 }) & { y }^{ 3 } & { x }^{ 3 }+{ x }^{ 2 }y+x{ y }^{ 2 } \end{matrix} \right| = \text{?}$

×