The value of `a^3 + b^3` is

Let a ,b ,a n dc be distinct nonzero real numbers such that (1-a^3)/a=(1-b^3)/b=(1-c^3)/c dot The value of (a^3+b^3+c^3) is _____________.

Let a ,b ,a n dc be distinct nonzero real numbers such that (1-a^3)/a=(1-b^3)/b=(1-c^3)/cdot The value of (a^3+b3+c^3) is _____________.

Suppose a, b, c, in R and abc = 1, if A = [[3a, b, c ],[b, 3c, a ],[c, a, 3b]] is such that A ^(T) A = 4 ^(1//3) I and abs(A) gt 0, the value of a^(3) + b^(3) + c^(3) is

Suppose a ,b ,c are the roots of the cubic x^3-x^2-2=0. Then the value of a^3+b^3+c^3 is _____.

Suppose a ,b ,c are the roots of the cubic x^3-x^2-2=0. Then the value of a^3+b^3+c^3 is _____.

If a - 2b + 3c= 0 , state the value of a^(3) -8b^(3) + 27c^(3)

If a= .^(20)C_(0) + .^(20)C_(3) + .^(20)C_(6) + .^(20)C_(9) + "…..", b = .^(20)C_(1) + .^(20)C_(4) + .^(20)C_(7) + "……"' and c = .^(20)C_(2) + .^(20)C_(5) + .^(20)C_(8) + "…..", then Value of a^(3) + b^(3) + c^(3) - 3abc is

Find the values of a\ a n d\ b ,\ if\ (3a-2,\ b+3)=(2a-1,\ 3)dot

If a=2, b-=3 and c=5 , then find the value of a^3+b^3+c^3 .

If a=2, b-=3 and c=5 , then find the value of a^3+b^3+c^3 .