Let A₁ and A₂ be two arithmetic means and G₁, G₂, G₃ be three geometric means of two distinct positive numbers. The G⁴₁+G⁴₂+G⁴₃+G²₁G²₃ is equal to
(1) 2(A₁ + A₂)G₁G₃
(2) (A₁ + A₂)²G₁G₃
(3) (A₁ + A₂) G²₁G²₃
(4) 2(A₁ + A₂ )G²₁G²₃