1.

\left| \begin{array} { c c c } { y + z } & { x } & { y } \\ { z + x } & { z } & { x } \\ { x + y } & { y } & { z } \end{array} \right| = ( x + y + z ) ( x - z ) ^ { 2 }

Answer»

(y+z)(z^2-xy)-x(z^2+xz-x^2-xy)+y(yz+xz-x^2xy)=x^3-2x^2z+z^2x+x^2y-2xyz+yz^2+x^2z- 2xz^2+z^3=(x+y+z)(x-z)^2

Thanks for the answer provided.



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