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If the points, ((a^(3))/(a-1),(a^(2)-3)/...

If the points, `((a^(3))/(a-1),(a^(2)-3)/(a-1)), ((b^(3))/(b-1),(b^(2)-3)/(b-1))` and `((c^(3))/(c-1)(c^(2)-3)/(c-1))` are collinear for three distinct values a, b, c and `a ne 1, b ne 1` and `c ne 1`, then show that `abc-(bc+ca+ab)+3(a+b+c)=0`

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