# #a# i s The arithmetic mean of two positive numbers #b and c# . #G_1# and #G_2# are the geometric mean between the same positive numbers #b and c# so prove that #G_1^3+G_2^3#=#2abc# ?

##### 1 Answer

Aug 9, 2018

Please see below.

#### Explanation:

Here,

Now,

So,

Let

So,

Let us take LHS.