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Решите задачу:

$\displaystyle \bigg(\frac{8+a^{3}}{x^{2}-y^{2}}:\frac{4-2a+a^{2}}{x-y}\bigg):\bigg(x+\frac{xy+y^{2}}{x+y}\bigg)=\frac{a+2}{(x+y)^{2}}\\\\\\ \bigg(\frac{(2+a)(4-2a+a^{2})}{(x-y)(x+y)}*\frac{x-y}{4-2a+a^{2}}\bigg):\frac{(x+y)^{2}}{x+y}=\frac{a+2}{(x+y)^{2}}\\\\\\ \frac{2+a}{x+y}*\frac{1}{x+y}=\frac{a+2}{(x+y)^{2}}\\\\\\ \frac{a+2}{(x+y)^{2}}=\frac{a+2}{(x+y)^{2}}$