Question

$$\{\frac{(a+b)^{2}}{(a+b)}\frac{(c+d)^{3}}{(c+d)^{2}}\}^{3}$$

Evaluate

$\left(\left(a+b\right)\left(c+d\right)\right)^{3}$

Expand

$3ab^{2}c^{3}+3ab^{2}d^{3}+9ac\left(bd\right)^{2}+9ad\left(bc\right)^{2}+3ba^{2}c^{3}+3ba^{2}d^{3}+9bc\left(ad\right)^{2}+9bd\left(ac\right)^{2}+3cd^{2}a^{3}+3cd^{2}b^{3}+3dc^{2}a^{3}+3dc^{2}b^{3}+\left(ac\right)^{3}+\left(ad\right)^{3}+\left(bc\right)^{3}+\left(bd\right)^{3}$