Find the value of : `m^3-1/n^3`, if `m-1/n=13/2` and `m/n=7/2`.

Find the value of n , if (2n - 1)/(n - 2) = 3

If m = 2, find the value of: 3m^2 – 2m – 7

Find the value of (3^n × 3^(2n + 1))/(3^(2n) × 3^(n - 1))

Find the product: (m^2-n^2)(2m+n).

If A=[(2,2,1),(1,3,1),(1,2,2)] and the sum of eigen values of A is m anda product of eigen values of A is n, then m+n is equal to

Let alpha,beta,gamma be the roots of x^(3)+2x^(2)-x-3=0 . If the absolute value of the expression (alpha-1)/(alpha+2)+(beta-1)/(beta+2)+(gamma-1)/(gamma+2) can be expressed as (m)/(n) where m and n are co-prime the value of |{:(m,n^(2)),(m-n,m+n):}| is