[(-3ab)^2a^3-2a^2(3ab^2))^3*1/2b]÷(-3ab^2))^2

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[(-3ab)^2a^3-2a^2(3ab^2))^3*1/2b]÷(-3ab^2))^2
[(-3ab)^2a^3-2a^2(3ab^2))^3*1/2b]÷(-3ab^2))^2

[(-3ab)^2a^3-2a^2(3ab^2))^3*1/2b]÷(-3ab^2))^2
[(-3ab)^2a^3-2a^2(3ab^2))^3*1/2b]÷(-3ab^2))^2
=(9a^2b^2*a^3-2a^2*27a^3b^6*b/2)/(9a^2b^4)
=(9a^5b^2-27a^5b^7)/(9a^2b^4)
=(a^3-3a^3b^5)/(b^2).

[(-3ab)^2a^3-2a^2(3ab^2))^3*1/2b]÷(-3ab^2))^2
=(9a^2b^2a^3-2a^2*27a^3b^6*1/2b]÷(9a^2b^4)
=(9a^5b^2-27a^5b^7)÷(9a^2b^4)
=(9a^5b^2)÷(9a^2b^4)-(-27a^5b^7)÷(9a^2b^4)
=a^3/b^2+3a^3b^3