Given:
The volume V(x) in cubic inches of this type of open-top box is a function of the side length x in inches of the square cutouts and can be given by

To find:
The above equation by expanding the polynomial.
Solution:
We have,

Using distributive property, we get
](https://tex.z-dn.net/?f=V%28x%29%3D%5B17%2811-2x%29-2x%2811-2x%29%5D%28x%29)
](https://tex.z-dn.net/?f=V%28x%29%3D%5B17%2811%29%2B17%28-2x%29-2x%2811%29-2x%28-2x%29%5D%28x%29)
](https://tex.z-dn.net/?f=V%28x%29%3D%5B187-34x-22x%2B4x%5E2%5D%28x%29)
Combining likes terms, we get
](https://tex.z-dn.net/?f=V%28x%29%3D%5B187-56x%2B4x%5E2%5D%28x%29)
Using distributive property, we get


Therefore, the required equation after expanding the polynomial is
.