The distributive property is given by the next form:
[tex]a(b+c)=a\ast b+a\ast c[/tex]Hence, we can apply this property to the given expression:
[tex]\begin{gathered} 8(9+w)=8\ast9+8\ast w \\ Then \\ =72+8w \end{gathered}[/tex]Hence, the correct answer is 72+8w.