By taking a common factor, we will see that the equivalent expression is:[tex]12*\sqrt[3]{6c}[/tex]How to find the equivalent expression?Here we start with the expression:[tex]5*\sqrt[3]{6c} + 7*\sqrt[3]{6c}[/tex]Notice that if we define:[tex]\sqrt[3]{6c} = u[/tex]We can rewrite our expression as:[tex]5u + 7u[/tex]Now we can take the common factor u to write:[tex](5 + 7)u = 12u[/tex]Now if we replace u y the cubic root, we will get:[tex]12*\sqrt[3]{6c}[/tex]So the correct option is the third one.If you want to learn more about expressions: