could someone help me with a fraction?

Question

Perform the following division (find the following quotient).

(3a²x−6ax²+24a²x^{2) /(}12a²x²)

Answer 1

Each term in the numerator and the denominator is divisible by 3ax.

 

[(3ax)a - (3ax)2x + (3ax)8ax]/[(3ax)4ax]

 

[(3ax)(a - 2x + 8ax)]/[(3ax)(4ax)]

 

factoring out the term common to both the numerator and the denominator leaves

(a - 2x + 8ax)/4ax