usually in these type of questions, we let smth be (x+1)lets let a be x+1then , we have,12a^2 + 60a + 75=12a^2 + 30a + 30a + 75=2a(6a + 15) + 5 ( 6a + 15)=(2a+5)(6a+15)now insert the value of a which is x+1 back to get,=(2(x+1) + 5) ( 6(x+1) + 15)=(2x+2+5)(6x+6+15)=(2x+7)(6x+21)which is the required answer.