9x^2 - 4y^2 ( x + 5)^

The expression you provided is "9x^2 - 4y^2 (x + 5)", which seems to have a part that resembles a difference of squares and a multiplication by a linear term.

Let's dissect it:

1. Recognizing the structure: The first part "9x^2 - 4y^2" can be recognized as a difference of squares since it can be expressed as (3x)^2 - (2y)^2. In general, the difference of squares, a^2 - b^2, factors into (a + b)(a - b).

2. Factoring the difference of squares: Applying this to "9x^2 - 4y^2", we can factor it as:
(3x + 2y)(3x - 2y).

3. Including (x + 5): The expression also includes a factor of "(x + 5)", hence we need to write the complete expression as:
(3x + 2y)(3x - 2y)(x + 5).

4. Final result: The complete factored form of the expression "9x^2 - 4y^2 (x + 5)" will therefore be:
(3x + 2y)(3x - 2y)(x + 5).

Thus, the answer is (3x + 2y)(3x - 2y)(x + 5).