8xy(x+y)

is answer 8x^2y+8xy^2

Correct.

Thank you

You're welcome!

To simplify the expression 8xy(x+y), you need to apply the distributive property.

First, distribute the 8xy to both terms inside the parentheses:
8xy * x = 8x^2y
8xy * y = 8xy^2

Now, combine the two simplified terms:
8x^2y + 8xy^2

So, the answer is indeed 8x^2y + 8xy^2.