If `a+b+c=6` and `a b+b c+c a=10` then the value of `a^3+b^3+c^3-3a b c` is (a) 36 (b) 48 (c) 42 (d) 40

If a+b+c=6 and ab+bc+ca=10 then the value of a^(3)+b^(3)+c^(3)-3abc is (a) 36 (b) 48( c) 42 (d) 40

If A=[a b c b c a c a b],a b c=1,A^T A=I , then the value of a^3+b^3+c^3 can be 3 (2) 0 (3) 1 (4) 4

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)=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+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

If b+c =10, c +a =20 , a+b =30 then value of a^(3) +b^(3) +c^(3) is

If a + b + c =0, then what is the value of (a + b -c) ^(3) + (c + a -b) ^(3) + (b + c - a) ^(3) ?

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

If |a|=1,|b|=3 and |c|=5 , then the value of [a-b" "b-c" "c-a] is