Chapter 8.2, Problem 1LC

To determine

The solution of the given expression.

Answer to Problem 1LC

The solution of the expression $6x\left(2x^3+7x\right)$ is $12x^4+42x^2$ .

Explanation of Solution

Given information:

The expression $6x\left(2x^3+7x\right)$ .

Concept and Formula Used:

Distributive property

Calculation:

The expression $6x\left(2x^3+7x\right)$ .

Using distributive property

  $\begin{array}{l}6x\left(2x^3+7x\right)=6x\times 2x^3+6x\times 7x\\ \text{Using }{a}^m\times a^n=a^{m+n}\\ 6x\left(2x^3+7x\right)=12x^4+42x^2\end{array}$

Conclusion:

The solution of the expression $6x\left(2x^3+7x\right)$ is $12x^4+42x^2$ .