Let α, β, γ and δ be the coefficients of x⁷, x⁵, x³, x respective… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 2Binomial Expansion

Let $\alpha, \beta, \gamma$ and $\delta$ be the coefficients of $x^7, x^5, x^3, x$ respectively in the expansion of $\left(x + \sqrt{x^3 - 1}\right)^5 + \left(x - \sqrt{x^3 - 1}\right)^5, \; x > 1$ . If $\alpha u + \beta v = 18$ , $\gamma u + \delta v = 20$ , then $u + v$ equals:

A
$4$
B
$8$
C
$3$
D
$5$

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