Step 1 :Use the distributive property to write the following expression without parentheses: \(3(x+y)\)
Step 2 :The distributive property states that for all real numbers a, b, and c, \(a(b + c) = ab + ac\). In this case, a is 3, b is x, and c is y.
Step 3 :So, we can apply the distributive property to the expression \(3(x + y)\) to get \(3x + 3y\).
Step 4 :Final Answer: \(3(x+y)=\boxed{3x+3y}\)