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Answer:

[tex]\boxed {\tt 3x^2+36x+81}[/tex]

Step-by-step 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

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