Answer:
![\boxed {\tt 3x^2+36x+81}](https://img.qammunity.org/2021/formulas/mathematics/college/lufc3gv14vxzdhrdll3eav0tc0rav92kq0.png)
Explanation:
Multiply the binomials using FOIL: First, Outside, Inside, Last.
Multiply the first terms, then the outside terms, then the inside terms, and finally, the last terms.
(x+9)(3x+9)
First
- The first terms are x and 3x
- (x * 3x)= 3x²
Outside
- The outside terms are x and 9
- (x*9)=9x
Inside
- The inside terms are 9 and 3x
- (9*3x)=27x
Last
- The last terms are 9 and 9
- (9*9)=81
3x²+9x+27x+81
Combine the terms.
3x²+(9x+27x)+81
3x²+36+81
The trinomial is: 3x²+36x+81