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MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

a, b, c, x, y, z \in \mathbb{R}

, prove that

$(a-x)^2$	$(b-x)^2$	$(c-x)^2$
$(a-y)^2$	$(b-y)^2$	$(c-y)^2$
$(a-z)^2$	$(b-z)^2$	$(c-z)^2$

=

$(1+ax)^2$	$(1+bx)^2$	$(1+cx)^2$
$(1+ay)^2$	$(1+by)^2$	$(1+cy)^2$
$(1+az)^2$	$(1+bz)^2$	$(1+cz)^2$