The expression to be simplified is: (9x^2 - 25) / (3x + 5) We first factor the numerator: 9x^2 - 25 is a difference of two squares, (3x)^2 - (5)^2, so this can be factored into (3x + 5)(3x - 5). Then the expression becomes (3x + 5)(3x - 5) / (3x+5), and the 3x + 5 term cancels out, leaving just 3x - 5 as the final answer.