25x⁶-15x³=

To factor the expression \(25x^6 - 15x^3\), we start by finding the greatest common factor (GCF) of the two terms.

1. The coefficients are \(25\) and \(15\). The GCF of \(25\) and \(15\) is \(5\).
2. The variable part has \(x^6\) and \(x^3\). The GCF here is \(x^3\).

Now we can factor out the GCF from the expression:

\[ 25x^6 - 15x^3 = 5x^3(5x^3 - 3) \]

Thus, the factorized form of \(25x^6 - 15x^3\) is

\[ 5x^3(5x^3 - 3) \]