To solve the given expression, we need to simplify it step by step. Let's break it down into smaller parts and solve each part individually.

Step 1: Simplify (x - 1/x)
This can be simplified by finding a common denominator for the terms. The common denominator is x, so we multiply the first term by x and the second term by 1:

(x * x - 1) / x
(x^2 - 1) / x

Step 2: Simplify (x + 1/x)
Similar to the previous step, we find a common denominator, which is x, and multiply the first term by x and the second term by 1:

(x * x + 1) / x
(x^2 + 1) / x

Step 3: Simplify (x^2 - 1/x^2)
To simplify this expression, we need to multiply the numerator and denominator by x^2 to eliminate the fraction:

(x^2 * x^2 - 1) / x^2
(x^4 - 1) / x^2

Step 4: Multiply the simplified expressions
Now, we can multiply all the simplified expressions together:

[(x^2 - 1) / x] * [(x^2 + 1) / x] * [(x^4 - 1) / x^2]

Step 5: Simplify the multiplication
To simplify the multiplication, we can cancel out common factors between the numerator and denominator:

[(x^2 - 1) * (x^2 + 1) * (x^4 - 1)] / [x * x * x^2]

Step 6: Expand and simplify the numerator
Expanding the numerator gives us:

[(x^4 - 1) * (x^4 - 1)] / [x * x * x^2]

Simplifying further:

(x^8 - 2x^4 + 1) / (x^3)

So, the simplified form of the given expression is (x^8 - 2x^4 + 1) / (x^3).

This type of question falls under the topic of polynomials, where we manipulate algebraic expressions involving variables and exponents. It requires knowledge of factoring, simplifying fractions, and multiplying polynomials. It is important to carefully follow the steps and apply the rules of algebra to simplify the expression correctly.