Step 1 :Group the terms in pairs: \( (9x^{3} - 15x^{2}) + (6x - 10) \)
Step 2 :Factor out the greatest common factor (GCF) from each group: \( 3x^{2}(3x - 5) + 2(3x - 5) \)
Step 3 :Factor out the common binomial factor from each group: \( (3x - 5)(3x^{2} + 2) \)
Step 4 :\(\boxed{9x^{3} - 15x^{2} + 6x - 10 = (3x - 5)(3x^{2} + 2)}\)