You can
put this solution on YOUR website! .
The strategy of solution is in two steps.
First step is to solve the system of the two given equations
a - b = 25
a + b = 81.
It is VERY EASY: simply add the equations to get
2a = 25 + 81 = 106,
which implies a = 106/2 = 53, and then b = 81 - a = 81 - 53 = 28.
The second step is to calculate (8ab)*(a + 1/a)^2.
It is just an elementary job, which I leave to you.