If the points`(a^3/(a-1),(a^2-3)/(a-1))`, `(b^3/(b-1),(b^2-3)/(b-1))`, `(c^3/(c-1),(c^2-3)/(c-1))` are collinear for 3 distinct values `a,b,c` and `a!=1, b!=1, c!=1`, then find the value of `abc-(ab+bc+ca)+3(a+b+c)`.

If the points ((a^(3))/(a-1),(a^(2)-3)/(a-1))((b^(3))/(b-1),(b^(2)-3)/(b-1)),((c^(3))/(c-1),(c^(2)-3)/(c-1)) are a!=1,b!=1,c!=1, then find the value of abc-(ab+bc+ca)+3(a+b+c)

If a=-1, b=-2/3, c=-3/4 , then the value of a+b+c is

If the points ((a^(3))/(a-1),(a^(2)-3)/(a-1)),((b^(3))/(b-1),(b^(3)-3)/(b-1)) and ((c^(3))/(c-1),(c^(3)-3)/(c-1)) where a,b,c are different from 1 lie on the line lx+my+n=0a+b+c=(m)/(l)ab+bc+ca+(n)/(l)=0abc=((3m+n))/(l)abc-(bc+ca+ab)+3(a+b+c)=0

If a-b=1, then the value of a^(3)-b^(3)-3ab will be -3(b)-1(c)1(d)3

If (a-b)=3,(b-c)=5 and (c-a)=1 then the value of (a^(3)+b^(3)+c^(3)-3abc)/(a+b+c) is?

If a+b+c=2, ab+bc+ca=-1 and abc=-1 and abc=-2 , find the value of a^(3)+b^(3)+c^(3) .

If a+b=2c, then the value of (a)/(a-c)+(b)/(b-c) is (1)/(2)(b)1(c)2(d)3

If the points A(-1,-4),B(b,c)and C(5,-1) are collinear and 3b + c = 4, find the values of b and c.