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

[" 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!=1,b!=1" and "c!=1," then find the value of "abc-(ab+bc+ac)+3(a+b+c)]

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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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