Step 1 :The distributive property states that for all real numbers a, b, and c, a(b + c) = ab + ac. In this case, we can apply the distributive property to the expression \(x(11y + 2)\) to rewrite it as \(x*11y + x*2\).
Step 2 :So, the expression \(x(11 y+2)\) can be rewritten using the distributive property as \(\boxed{11 x y+2 x}\).