ax(x-y)+ay(y-z)+az(z-x)
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Step-by-step explanation:
ax(x-y)+ay(y-z)+az(z-x)
= ax^2-axy+ay^2-ayz+az^2-azx
= ax^2+ay^2+az^2-axy-ayz-azx
=a(x^2+y^2+z^2-xy-yz-zx)