Answer:
![(x+3)(x+9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/612qdnyc9dqveg92hmxdp79jj30ewv3aq3.png)
Explanation:
We are given the expression
![x^2+12x+27](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zhjiyo157jncnm9xt2uwc87w82kiyyqnep.png)
This means that we are looking for two numbers that would add together to give us 12 and multiply to give us 27.
The two numbers that fit this description are 3 and 9.
This means that the factored form of the expression would be
![(x+3)(x+9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/612qdnyc9dqveg92hmxdp79jj30ewv3aq3.png)