Mathematics

Mathematics

Problem

If a,b,c,x,y,z∈Ra, b, c, x, y, z \in \mathbb{R}, prove that
(a−x)2(a-x)^2(b−x)2(b-x)^2(c−x)2(c-x)^2
(a−y)2(a-y)^2(b−y)2(b-y)^2(c−y)2(c-y)^2
(a−z)2(a-z)^2(b−z)2(b-z)^2(c−z)2(c-z)^2
==
(1+ax)2(1+ax)^2(1+bx)2(1+bx)^2(1+cx)2(1+cx)^2
(1+ay)2(1+ay)^2(1+by)2(1+by)^2(1+cy)2(1+cy)^2
(1+az)2(1+az)^2(1+bz)2(1+bz)^2(1+cz)2(1+cz)^2

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