## ihatealgebrasomuch 3 years ago (1/3)(3x^2+12x+9)(x+3) how do i solve this???????

1. chemENGINEER

there is no equals sign so this is not even an equation bro

2. ihatealgebrasomuch

im trying to find the volume of a rectangular pyramid... that whole expression equals v

3. chemENGINEER

so then do you have any input values for x?? as it sits (1/3)(3x^2+12x+9)(x+3)=V can only be solved it you input an x. maybe you just want to find the roots..... idk you need to be more specific

4. ihatealgebrasomuch

Find an expression for the volume of a rectangular pyramid whose base has an area of 3x^2 + 12x +9 square feet and whose height is x + 3 feet.

5. satellite73

divide each term in the first expression by 3, because of the $$\frac{1}{3}$$ out front, should be easy enough because each term is divisible by $$3$$

6. satellite73

when you are done, you have to multiply $(x^2+4x+3)(x+3)$ which requires 6 multiplications via the distributive property

7. satellite73

this part is a pain, but not really that bad with some practice first of all multiply everything in the first parentheses by $$x$$ which really just means raising the power by 1 then multiply everything in the first expression by $$3$$ and then combine like terms

8. satellite73

once you get the answer post and someone will check