Find the value of
`(a^3{b+c})/((a-b)(a-c))+(b^3{a+c})/((b-c)(b-a))+(c^3{b+a})/((c-a)(c-b))`

If ab + bc + ca = 0, then find the value of (b)/((a+b)(b+c))+(c)/((a+c)(c+b))+(a)/((a+b)(c+a))

Find the value of ((a+b)^(2))/((b-c)(c-a))+((b+c)^(2))/((a-b)(c-a))+((c+a)^(2))/((a-b)(b-c))

If a+b+c=0 , then the value of ((a+b)/(c)+(b+c)/(a)+(c+a)/(b)) ((a)/(b+c)+(b)/(c+a)+(c)/(a+b)) is

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^(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 b+b c+c a=0 , then what is the value of (1/(a^2-b c)+1/(b^2-c a)+1/(c^2-a b)) ? (a) 0 (b) 1 (c) 3 (d) a+b+c