Question 743070

Algebraic fraction help? What is the fraction in its lowest terms? (a^3 - b^3) / ((a^3 * b^3) + (a^2 * b^4) + ab^5)
I tried to simplify it but I got to (3a^2 * b)+ 2a + 3ab * (a-b) / a^2 * b^7
Then I got stuck, I don't even know if what I simplified is correct, please help me understand


{{{(a^3 - b^3) / (a^3b^3 + a^2b^4 + ab^5)}}}


{{{((a - b)(a^2 + ab + b^2)) /(ab^3(a^2 + ab + b^2))}}} ----- Factoring numerator and denominator


{{{((a - b)cross((a^2 + ab + b^2))) /(ab^3cross((a^2 + ab + b^2)))}}} ----- {{{highlight_green((a - b)/ab^3)}}}