Final answer:
The expression 10xy/5y simplifies to 2x and 5xy(2x+3y) expands to 10x^2y + 15xy^2. This involves factoring out common terms and distribution.
Step-by-step explanation:
To simplify the expression 10xy/5y, we should divide both the numerator and the denominator by the common factor y. This leaves us with 10x/5, which simplifies to 2x after dividing both terms by 5.
Next, to address the expression 5xy(2x+3y), we distribute the term 5xy across (2x+3y). This results in 10x2y + 15xy2.
The simplified form of the given expressions would be 2x and 10x2y + 15xy2 respectively.