The volume of a box is the amount of space in the box.
The expressions that can represent the length and the width are: [tex]\mathbf{(2x - 1)\ and\ (x + 3)}[/tex]
The volume is given as:
[tex]\mathbf{V(x) =2x^3 + 5x^2 - 3x}[/tex]
Divide through by height (i.e x), to get the base area
[tex]\mathbf{A(x) =2x^2 + 5x - 3}[/tex]
Expand
[tex]\mathbf{A(x) =2x^2 + 6x - x - 3}[/tex]
Factorize
[tex]\mathbf{A(x) =2x(x + 3) - 1(x + 3)}[/tex]
Factor out x + 3
[tex]\mathbf{A(x) =(2x - 1) (x + 3)}[/tex]
Hence, the expressions that can represent the length and the width are: [tex]\mathbf{(2x - 1)\ and\ (x + 3)}[/tex]
Read more about volumes at:
https://brainly.com/question/13338592
