If `"x"` is the single `A.M` and `"y,z"` be two geometric means between two numbers `a` and `b`, then `y^(3)+z^(3)` is equal to

If a be the arithmetic mean and b, c be the two geometric means between any two positive numbers, then (b^3 + c^3) / abc equals

The point P(a, b) is such that b-25a=4 and the arithmetic mean of a and b is 28. Q(x, y) is the point such that x and y are two geometric means between a and b, if O is the origin then (OP)^(2)+(OQ)^(2) is equal to

Let x be the arithmetic mean and y,z be the two geometric means between any two positive numbers,then (y^(3)+z^(3))/(xyz)=... (1997C 2M )

Let x be the arithmetic mean and y,z be tow geometric means between any two positive numbers.Then,prove that (y^(3)+z^(3))/(xyz)=2

If x-2y+2z=0, then x^(3)-8y^(3)+8z^(3) is equal to

If x + y + z= 0 , then x^3 + y^3 + z^3 is equal to :

The arithmetic mean of two numbers x and y is 3 and geometric mean is 1. Then x^(2)+y^(2) is equal to

If x+y+z=0 then x^3+y^3+z^3+3xyz equal to