Simplify the following expression.

Answer: [tex]-10u^{3}-16u^{2}+4u[/tex]
Step-by-step explanation:
To solve the problem shown in the image attached, you must apply a property called Distributive property of multiplication. This means that you must multiply each term inside the parentheses by [tex]2u[/tex].
Therefore, keeping this on mind, you obtain the following result:
[tex]2u(-5u^{2}-8u+2)=(2u)(-5u^{2})+(2u)(-8u)+(2u)(2)= -10u^{3}-16u^{2}+4u[/tex]