Answer:
The answer is:
[tex]-6p^3+8p^2-10p[/tex]
Step-by-step explanation:
In order to determine the answer, we have to know about the distributive property.
This property is applied when there is a factor that is multiplying other expression, usually inside of a parentheses. When we apply the property, the factor multiply every term.
Then, if it is possible, we have to add similar terms.
In this case, we have:
[tex]2p(-3p^2+4p-5)\\2p*(-3p^2)+2p*(4p)+2p*(-5)\\-6p^3+8p^2-10p[/tex]
Finally, the simplified expression is:
[tex]-6p^3+8p^2-10p[/tex]