a shipping box has a base eara of 4x^2 + 52 +168 and a height of x/4x +28. what is the volume of the box?

Question

It's algebra.

Answer 1

I'll assume you meant to write 4x² + 52x + 168.

 

First, let's factor the expression for area:

 

4x² + 52x + 168

4(x² + 13x + 42)

4(x + 6)(x + 7)

 

Now, let's factor the expression for height:

 

x/(4x + 28)

x/(4(x + 7))

 

Finally, multiply area by height to get volume:

 

V = [4(x+6)(x+7)][x/(4(x+7))]

V = [(x+6)/1][x/1]

V = x(x+6)/1

V = x(x+6)

V = x² + 6x