Question

Simplify the product. 2p(–3p2 + 4p – 5)

Answer 1

2p(–3p2 + 4p – 5)

=(2p)(−3p^2+4p+−5) =(2p)(−3p^2)+(2p)(4p)+(2p)(−5) Answer =−6p^3+8p^2−10p

Answer 2

The answer is:

`-6p^3+8p^2-10p`

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:

`2p(-3p^2+4p-5)\\2p*(-3p^2)+2p*(4p)+2p*(-5)\\-6p^3+8p^2-10p`

Finally, the simplified expression is:

`-6p^3+8p^2-10p`