Chapter 14, Problem 23SGR

To determine

To calculate: The amount of money that made more in the first week then the second week.

Answer to Problem 23SGR

The amount of money that made more in the first week then the second week is $2\left(x^2-2\right)$ .

Explanation of Solution

Given Information:

The amount of money made in first week= $\left(3x^2+4\right)\text{dollers}$

The amount of money made in next week= $\left(x^2+8\right)\text{dollers}$

Calculation:

The given amount of money made in first week and the next week are $\left(3x^2+4\right)\text{dollers}$ and $\left(x^2+8\right)\text{dollers}$ respectively.

Now, find the amount of money that made more in the first week then the second week. Subtract $\left(x^2+8\right)$ from $\left(3x^2+4\right)$ .

  $\begin{array}{c}\left(3x^2+4\right)-\left(x^2+8\right)=3x^2+4-x^2-8\\ =3x^2-x^2+4-8\\ =2x^2-4\\ =2\left(x^2-2\right)\end{array}$

Hence, the amount of money that made more in the first week then the second week is $2\left(x^2-2\right)$ .