Solution:
We are given the function f(x) = 2x^2 - 5x^2.

Step 1: Calculate f(4h) and f(4)
To calculate f(4h), we substitute x with 4h in the given function:
f(4h) = 2(4h)^2 - 5(4h) = 32h^2 - 20h

To calculate f(4), we substitute x with 4 in the given function:
f(4) = 2(4)^2 - 5(4)^2 = 8 - 80 = -72

Step 2: Calculate the expression (f(4h) - f(4))/h
Substituting the values calculated in Step 1, we get:
(f(4h) - f(4))/h = [(32h^2 - 20h) - (-72)]/h
= (32h^2 - 20h + 72)/h
= (32h^2 + 72 - 20h)/h
= 32h + 72/h - 20

Therefore, the value of (f(4h) - f(4))/h is 32h + 72/h - 20.

Explanation:
To find the expression (f(4h) - f(4))/h, we first need to calculate the values of f(4h) and f(4) by substituting the given values of x. Once we have these values, we can simply plug them into the expression and simplify it.

In this case, we have the function f(x) = 2x^2 - 5x^2. We first substitute x with 4h to get f(4h) = 32h^2 - 20h. We then substitute x with 4 to get f(4) = -72.

We can then plug these values into the expression (f(4h) - f(4))/h to get 32h + 72/h - 20. This is the final answer.

Conclusion:
In conclusion, we have shown how to calculate the expression (f(4h) - f(4))/h given the function f(x) = 2x^2 - 5x^2. We first calculated the values of f(4h) and f(4), and then substituted them into the expression and simplified it. The final answer is 32h + 72/h - 20.