Respuesta :
Answer: I believe it is x^3 + 4x^2 + 3x
Step-by-step explanation:
x(x+1)(x+3) =
x(x^2 + 4x + 3)=
x^3 + 4x^2 + 3x
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the volume of a wooden box is y cubic inches.
Let x be the width of the base.
The length of its rectangular base will be one inch longer than its width x.
Length of the box = (x+1) inches
The depth of the chest will be two inches longer than the longest side of the base.
Depth = (x+1) + 2 = (x+3) inches
Volume of a rectangular box is
[tex]V=length \times breadth\times height[/tex]
Volume of the chest is
[tex]y=(x+1) \times x\times (x+3)[/tex]
[tex]y=(x^2+x)\times (x+3)[/tex]
On further simplification, we get
[tex]y=x^2(x+3)+x(x+3)[/tex]
[tex]y=x^3+3x^2+x^2+3x[/tex]
Combine like terms.
[tex]y=x^3+4x^2+3x[/tex]
Therefore the correct option is 1.
