Question: User: factor $x^2+6x+9$?
1. **Problem:** Factor $x^2+6x+9$.
2. Use the perfect-square trinomial formula $a^2+2ab+b^2=(a+b)^2$.
3. Here, $x^2$ is $x^2$, the middle term is $6x=2\cdot x\cdot3$, and $9=3^2$.
4. Therefore, $x^2+6x+9=x^2+2\cdot x\cdot3+3^2=(x+3)^2$.
5. **Final answer:** $(x+3)^2$.