To answer this question we will use the following properties:
[tex]\begin{gathered} a(b+c)=ab+ac, \\ x^nx^m=x^{n+m}. \end{gathered}[/tex]
Using the distributive property we get:
[tex](3x+2)(9x^2+5x+3)=3x\cdot9x^2+3x\cdot5x+3x\cdot3+2\cdot9x^2+2\cdot5x+2\cdot3.[/tex]
Simplifying the above result we get:
[tex](3x+2)(9x^2+5x+3)=27x^3+15x^2+9x+18x^2+10x+6.[/tex]
Adding like terms, we get:
[tex]27x^3+33x^2+19x+6.[/tex]
Answer:
[tex]27x^3+33x^2+19x+6.[/tex]
