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Let A2 and A2 be two arithmetic means an...

Let `A_2 and A_2` be two arithmetic means and `G_1, G_2, G_3` be three geometric means of two distinct positive numbers. Then ` G_1^4+G_2^4+G_3^4+G_1^2G_3^2` is equal to

A

`2(A_1+A_2)G_1G_3`

B

`2(A_1+A_2)G_1^2G_3^2`

C

`(A_1+A_2)^2G_1G_3`

D

`(A_1+A_2)G_1^2G_3^2`

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