Simplify:a^2(b^2-c^2)+b^2(c^2-a^2)+c^2(a^2-b^2)
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=a^2(b^2-c^2)+b^2(c^2-a^2)+c^2(a^2-b^2)
=a^2(b^2-c^2)+b^2(c^2-a^2)+c^2(a^2-b^2)=(a^2*b^2-a^2*c^2)+(b^2*c^2-a^2*b^2)+(c^2*a^2-c^2*b^2)
=a^2(b^2-c^2)+b^2(c^2-a^2)+c^2(a^2-b^2)=(a^2*b^2-a^2*c^2)+(b^2*c^2-a^2*b^2)+(c^2*a^2-c^2*b^2)BY CANCELLING THE -+ TERMS WE AQUIRE ANSWER AS 0.
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