Factor the expression completely. $$ x^{4} y^{5}+x^{3} y^{2} $$

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1. Identify the common factors in both terms. The terms are 
   $$
   x^{4}y^{5} \quad \text{and} \quad x^{3}y^{2}.
   $$
   
2. The greatest common factor for the $$ x $$-terms is $$ x^{3} $$, and for the $$ y $$-terms is $$ y^{2} $$.

3. Factor out the common factor $$ x^{3}y^{2} $$:
   $$
   x^{4}y^{5} + x^{3}y^{2} = x^{3}y^{2} \left( x^{1}y^{3} + 1 \right).
   $$

4. Write the expression in its completely factored form:
   $$
   x^{3}y^{2}\left(xy^{3}+1\right).
   $$
   
Thus, the completely factored form is 
$$
x^{3}y^{2}\left(xy^{3}+1\right).
$$
The expression $$ x^{4}y^{5} + x^{3}y^{2} $$ can be factored completely as $$ x^{3}y^{2}(xy^{3} + 1) $$.

Factor the expression completely.

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