$$A = 3 a ^ { 2 } b ^ { 3 } \times 2 a b ^ { 2 }$$
$A=6a^{3}b^{5}$
$$A=3a^{3}b^{3}\times 2b^{2}$$
$$A=3a^{3}b^{5}\times 2$$
$$A=6a^{3}b^{5}$$
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$\left\{\begin{matrix}a=\frac{6^{\frac{2}{3}}\sqrt[3]{A}}{6b^{\frac{5}{3}}}\text{, }&b\neq 0\\a\in \mathrm{R}\text{, }&A=0\text{ and }b=0\end{matrix}\right.$