Since it is a division problem, multiply by the reciprocal:
Factored: [ (2x - 3)(2x + 3) ] / (2x + 5) · [ (2x + 5)(2x - 5) ] / [ (2x - 3)(2x - 3) ]
Numerator: (2x - 3)(2x + 3)(2x + 5)(2x - 5)
Denominator: (2x + 5)(2x - 3)(2x - 3)
Cancel: [ (2x + 3)(2x - 5) ] / (2x - 3)