Question

using (x + a)5 + (x – a)5
= 2[⁵C₀ x⁵ + ⁵C₂ x³Â·a² + ⁵C₄x·a⁴]
${\left(x+\sqrt{x^3-1}\right)}^5+{\left(x-\sqrt{x^3-1}\right)}^5$
= 2[⁵C₀ x⁵ + ⁵C₂ x³(x³ - 1) + ⁵C_4 x(x³ - 1)²]
$⇒$ 2[x⁵ + 10x⁶ - 10x³ + 5x⁷ - 10x⁴ + 5x]
considering odd degree terms,
2[x5 + 5x⁷ - 10x³ + 5x]
$∴$Sum of coefficients of odd terms is 2