(9a^2+6ab+b^2)/(9a^2b-b^3)

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(9a^2+6ab+b^2)/(9a^2b-b^3)(9a^2+6ab+b^2)/(9a^2b-b^3)(9a^2+6ab+b^2)/(9a^2b-b^3)(9a^2+6ab+b^2)/(9a^2b-

(9a^2+6ab+b^2)/(9a^2b-b^3)
(9a^2+6ab+b^2)/(9a^2b-b^3)

(9a^2+6ab+b^2)/(9a^2b-b^3)
(9a^2+6ab+b^2)/(9a^2b-b^3)
=(3a+b)^2/b(9a^2-b^2)
=(3a+b)^2/b(3a+b)(3a-b)
=(3a+b)/b(3a-b)

(9a^2+6ab+b^2)/(9a^2b-b^3)
=(3a+b)^2/b(9a^2-b^2)
=(3a+b)^2/b(3a+b)(3a-b)
=(3a+b)/b(3a-b)