Chapter 8.4, Problem 9MCQ

To determine

The solution of the given expression.

Answer to Problem 9MCQ

The solution of the product $6x^2\left(4x^2+3\right)$ is $24x^4+18x^2$ .

Explanation of Solution

Given information:

Theproduct $6x^2\left(4x^2+3\right)$

Concept and Formula Used:

The property $a^m\times a^m=a^{m+n}$

Distributive property of addition.

Calculation:

The givenproduct is $6x^2\left(4x^2+3\right)$

Using the distributive property.

  $6x^2\left(4x^2+3\right)=6x^2\times 4x^2+6x^2\times 3$

Using the property $a^m\times a^m=a^{m+n}$

  $\begin{array}{l}6x^2\left(4x^2+3\right)=24x^{2+2}+18x^2\\ 6x^2\left(4x^2+3\right)=24x^4+18x^2\end{array}$

Conclusion:

The solution of the product $6x^2\left(4x^2+3\right)$ is $24x^4+18x^2$ .