Chapter EP, Problem 6.5.14EP

To determine

To evaluate:

The value of the given number

Answer to Problem 6.5.14EP

The value of given operation is ${\left(3x-8\right)}^2+48x$

Explanation of Solution

Given:

The order of operation

  $9x^2-64$

Concept used:

Product means the answer to a multiplication problem

Sum means the total amount resulting from the addition of two or more numbers amounts or items

Quotientmeansa result obtained by dividing one quantity by another

Calculation:

The order of operation

  $\begin{array}{l}=9x^2-64\\ ={\left(3x\right)}^2-8^2\\ ={\left(3x-8\right)}^2+2\left(3x\right)\left(8\right)\\ ={\left(3x-8\right)}^2+48x\end{array}$

Therefore,

The value of given operation is ${\left(3x-8\right)}^2+48x$