$\begin{align}  & {{(2x+3y)}^{5}}={{(2x)}^{5}}{{+}^{5}}{{C}_{1}}{{(2x)}^{4}}(3y){{+}^{5}}{{C}_{2}}{{(2x)}^{3}}{{(3y)}^{2}}{{+}^{5}}{{C}_{4}}(2x){{(3y)}^{4}}+{{(3y)}^{5}} \\ & {{(2x+3y)}^{5}}\text{ }=32{{x}^{5}}+5(16{{x}^{4}})(3y)+10(8{{x}^{3}})(9{{y}^{2}})+10(4{{x}^{2}})(27{{y}^{3}})+5(2x)(81{{y}^{4}})+{{(3y)}^{5}} \\ & {{(2x+3y)}^{5}}=32{{x}^{5}}+240{{x}^{4}}y+720{{x}^{3}}{{y}^{2}}+1080{{x}^{2}}{{y}^{3}}+810x{{y}^{4}}+243{{y}^{5}} \\\end{align}$