Question

(3x^3 − 2x^2 + 7)(x^3 + 2x) Use the distributive property

Answer 1

`\begin{equation*} 3x^6-2x^5+6x^4+3x^3+14x \end{equation*}`

Step-by-step explanation

We want to simplify the given expression using the distributive property:

`(3x^3-2x^2+7)(x^3+2x)`

To do this, use every term in the first bracket to multiply each term in the second bracket:

`(3x^3*x^3)+(3x^3*2x)-(2x^2*x^3)-(2x^2*2x)+(7*x^3)+(7*2x)`

Now simplify:

`\begin{gathered} 3x^6+6x^4-2x^5-4x^3+7x^3+14x \\ \Rightarrow3x^6-2x^5+6x^4+3x^3+14x \end{gathered}`

That is the answer.