( a¹/² + a¹/² ) * a-b )⁴
( a¹/⁴-b¹/⁴ a¹/⁴+b¹/⁴) 2a+2a¹/²b¹/²)
1) a¹/² + a¹/² = a¹/² (a¹/⁴+b¹/⁴) + a¹/² (a¹/⁴-b¹/⁴) =
a¹/⁴-b¹/⁴ a¹/⁴+b¹/⁴ (a¹/⁴-b¹/⁴)(a¹/⁴+b¹/⁴)
= a¹/²(a¹/⁴+b¹/⁴+a¹/⁴-b¹/⁴) = a¹/² * 2a¹/⁴ = 2 a²/⁴⁺¹/⁴ =
(a¹/⁴-b¹/⁴)(a¹/⁴+b¹/⁴) (a¹/⁴-b¹/⁴)(a¹/⁴+b¹/⁴) (a¹/⁴-b¹/⁴)(a¹/⁴+b¹/⁴)
= 2a³/⁴ = 2a³/⁴
(a¹/⁴)²-(b¹/⁴)² a¹/²-b¹/²
2) a-b = (a¹/²-b¹/²)(a¹/²+b¹/²) = a¹/²-b¹/²
2a+2a¹/²b¹/² 2a¹/²(a¹/²+b¹/²) 2a¹/²
3) 2a³/⁴ * a¹/²-b¹/² =a³/⁴⁻¹/² =a³/⁴⁻²/⁴=a¹/⁴
a¹/²-b¹/² 2a¹/²
4) (a¹/⁴)⁴=a¹=a
Ответ: получится а.