To simplify the given expression, let's break it down step by step:

Step 1: Simplify the trigonometric expressions
Using the trigonometric identities:
- sin^2(x) + cos^2(x) = 1
- tan(x) = sin(x) / cos(x)
- sec(x) = 1 / cos(x)

We can simplify the given expression as follows:

2tan^2(45) * cos^2(30) - sin^2(60) * 5cos^2(60) + 4sec^2(30) - tan^2(45) / sin^2(25) * sin^2(65)

= 2(sin^2(45) / cos^2(45)) * cos^2(30) - sin^2(60) * 5cos^2(60) + 4(1 / cos^2(30)) - (sin^2(45) / cos^2(45)) / sin^2(25) * sin^2(65)

= 2(1 / 1) * (cos^2(30) / 1) - (1 / 2) * 5(1 / 4) + 4(1 / (3/2)) - (1 / 1) / (sin^2(25) / cos^2(25)) * (1 - cos^2(65))

= 2 * cos^2(30) - 5/8 + 8/3 - 1 / (sin^2(25) / cos^2(25)) * (1 - cos^2(65))

Step 2: Simplify the remaining trigonometric expressions
Using the values of cos(30), sin(25), and cos(65), we can further simplify the expression:

= 2 * (sqrt(3)/2)^2 - 5/8 + 8/3 - 1 / ((sin(25) / cos(25))^2) * (1 - cos(65)^2)

= 2 * (3/4) - 5/8 + 8/3 - 1 / ((sin(25) / cos(25))^2) * (1 - cos(65)^2)

= 6/4 - 5/8 + 8/3 - 1 / ((sin(25) / cos(25))^2) * (1 - cos(65)^2)

= 3/2 - 5/8 + 8/3 - 1 / ((sin(25) / cos(25))^2) * (1 - cos(65)^2)

Step 3: Simplify the remaining expressions
To further simplify the expression, we need the values of sin(25) and cos(25).

= 3/2 - 5/8 + 8/3 - 1 / ((sin(25) / cos(25))^2) * (1 - cos(65)^2)

= 3/2 - 5/8 + 8/3 - 1 / ((sin(25) / cos(25))^2) * (1 - cos(65)^2)

= 3/2 - 5/8 + 8/3 - 1 / ((sin(25) / cos