1.
For α,β∈R\alpha, \beta \in \mathbb{R} and a natural number nn, let

Ar=∣r1n22+α2r2n2−β3r−23n(3n−1)2∣A_r = \begin{vmatrix} r & 1 & \dfrac{n^2}{2} + \alpha \\ 2r & 2 & n^2 - \beta \\ 3r-2 & 3 & \dfrac{n(3n-1)}{2} \end{vmatrix}


Then 2A10−A52A_{10} - A_5 is:
Matrices and Determinants - Medium - Question