$$\frac{24b^{2}c^{2}a^{3}}{6\left(3a-2\right)a^{2}b^{2}}$$

$$\frac{4ac^{2}}{3a-2}$$

$$\frac{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)\frac{\mathrm{d}}{\mathrm{d}a}(24b^{2}c^{2}a^{3})-24b^{2}c^{2}a^{3}\frac{\mathrm{d}}{\mathrm{d}a}(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2})}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$

$$\frac{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)\times 3\times 24b^{2}c^{2}a^{3-1}-24b^{2}c^{2}a^{3}\left(3\times 18b^{2}a^{3-1}+2\left(-12b^{2}\right)a^{2-1}\right)}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$

$$\frac{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)\times 72b^{2}c^{2}a^{2}-24b^{2}c^{2}a^{3}\left(54b^{2}a^{2}+\left(-24b^{2}\right)a^{1}\right)}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$

$$\frac{18b^{2}a^{3}\times 72b^{2}c^{2}a^{2}+\left(-12b^{2}\right)a^{2}\times 72b^{2}c^{2}a^{2}-24b^{2}c^{2}a^{3}\left(54b^{2}a^{2}+\left(-24b^{2}\right)a^{1}\right)}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$

$$\frac{18b^{2}a^{3}\times 72b^{2}c^{2}a^{2}+\left(-12b^{2}\right)a^{2}\times 72b^{2}c^{2}a^{2}-\left(24b^{2}c^{2}a^{3}\times 54b^{2}a^{2}+24b^{2}c^{2}a^{3}\left(-24b^{2}\right)a^{1}\right)}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$

$$\frac{18b^{2}\times 72b^{2}c^{2}a^{3+2}+\left(-12b^{2}\right)\times 72b^{2}c^{2}a^{2+2}-\left(24b^{2}c^{2}\times 54b^{2}a^{3+2}+24b^{2}c^{2}\left(-24b^{2}\right)a^{3+1}\right)}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$

$$\frac{1296c^{2}b^{4}a^{5}+\left(-864c^{2}b^{4}\right)a^{4}-\left(1296c^{2}b^{4}a^{5}+\left(-576c^{2}b^{4}\right)a^{4}\right)}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$

$$\frac{\left(-288c^{2}b^{4}\right)a^{4}}{\left(18b^{2}a^{3}+\left(-12b^{2}\right)a^{2}\right)^{2}}$$