If `a` is the A.M. of `b` and ` c` and the two geometric mean are `G_1` and ` G_2,` then prove that `G_1^3+G_2^3=2a b cdot`

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3)=2abc

If a is the A.M. of b and c and the two geometric means are G_1 and G_2 , then prove that G1^3+G2^3=2a b c

If a is the A.M. of b and c and the two geometric means are G_(1) and G_(2) , then prove that G_(1)^(3)+G_(2)^(3) = 2abc

If a is the A.M.of b and c and the two geometric means are G_(1) and G_(2), then prove that G_(1)^(3)+G_(2)^(3)=2abc.

If a is the A.M.of b and c and the two geometric mean are G_(1) and G_(2), then prove that G_(1)^(3)+G_(2)^(3)=2ab

If a is A.M. of two positive numbers b and c and two G.M's between b and c are G_(1) and G_(2) , prove that G_(1)^(3) + G_(2)^(3) = 2abc .

If a be one A.M and G_1 and G_2 be then geometric means between b and c then G_1^3+G_2^3=

If a be one A.M and G_1 and G_2 be then geometric means between b and c then G_1^3+G_2^3=

If a is the arithmetic mean of b and c, and two geometric means G_(1) and G_(2) are inserted between b and c such that G_(1)^(3)+G_(2)^(3)=lamda abc, then find the value of lamda .

If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G^2-y^2)=1/(G^2)