Question 204171
i'm assuming that this is what you meant to type

(a^2 + 2a - 35)/(12x) divided by (ax - 3x)/(a^2 + 4a - 21)


a^2 + 2a - 35 = (a + 7)(a - 5)
ax - 3x = x(a - 3)
a^2 + 4a - 21 = (a + 7)(a - 3)

when you have a fraction and you try to divide it to another fraction you actually multiplying its reciprical (ie 1/2 divide by 1/4 = 1/2 multiply by 4/1)
disregard the dots.
[(a+7)(a-5)]....[(a+7)(a-3)]....(a+7)^2 (a-5)
------------ x ------------ = -------------
    (12x).....................x(a-3)................12x^2