24x^2+101x+105 / 9X^2+42x+49
= (24x^2 + 101x + 105) / (9x^2 + 42x + 49)
= (24x^2 + 101x + 105) / (3x + 7)(3x + 7)
= (6x + 15)(4x + 7) / (3x + 7)(3x + 7)
= (6x + 15)(4x + 7) / (3x + 7)^2
Therefore, the simplified form of the expression is (6x + 15)(4x + 7) / (3x + 7)^2.