Are these polynomials?

Algebra Level 2

x2+y2+z2yzzxxya2+b2+c2bccaab \large \frac { { x }^{ 2 }+{ y }^{ 2 }+{ z }^{ 2 }-yz-zx-xy }{ { a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 }-bc-ca-ab }

If x=b+c,y=c+a,z=a+bx=b+c, y=c+a, z=a+b, then find the value of the expression.

Hint: See how you can use the identity of (ab)2{ \left( a-b \right) }^{ 2 }.

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