(i) m-2 = 2-2 = 0 [putting m = 2]
(ii) 3m-5 = 3×2-5 = 6-5 = 1 [putting m = 2]
(iii) 9-5m = 9-5×2 = 9-10 = -1 [putting m = 2]
(iv) 3m2-2m-7 = 3(2)2-2(2)-7 = 3×4-2×2-7 = 12-4-7 = 12-11=1 [putting m = 2]
(v) \(\frac{5m}{2}\)-4 = \(\frac{5\times 2}{2}\)-4 = 5-4 = 1 [putting m = 2]
If \( x, y \) are two positive integers such that \( x + y = 20 \) and the maximum value of \( x^3 y \) is \( k \) at \( x = a, y = \beta \), then \( \frac{k}{\alpha^2 \beta^2} = ? \)