Chapter 8.2, Problem 13PPE

To determine

The solution of the given expression.

Answer to Problem 13PPE

The solution of expression $4x\left(2x^3-7x^2+x\right)$ is $8x^4-28x^3+4x^2$

Explanation of Solution

Given information:

The expression $4x\left(2x^3-7x^2+x\right)$

Concept and Formula Used:

The distributive property $a(b+c+d)=ab+ac+ad$

Calculation:

The given expression is $4x\left(2x^3-7x^2+x\right)$

Using the property $a(b+c+d)=ab+ac+ad$

Therefore

  $4x\left(2x^3-7x^2+x\right)=4x\times 2x^3-4x\times 7x^2+4x\times x$

Using the property

  $\begin{array}{l}{a}^m\times a^n=a^{m+n}\\ 4x\left(2x^3-7x^2+x\right)=8x^4-28x^3+4x^2\end{array}$

Conclusion:

The solution of expression $4x\left(2x^3-7x^2+x\right)$ is $8x^4-28x^3+4x^2$