The trinomial is given to be:
[tex]x^2+12x+36[/tex]
Rewrite the expression in the form:
[tex]\begin{gathered} a^2+2ab+b^2 \\ 36=6^2 \\ 12x=2x\cdot6 \end{gathered}[/tex]
Therefore, the expression becomes:
[tex]x^2+2x\cdot \:6+6^2[/tex]
Apply the perfect square formula:
[tex]a^2+2ab+b^2=\left(a+b\right)^2[/tex]
Therefore, the expression becomes:
[tex]\begin{gathered} a=x \\ b=6 \\ \therefore \\ x^2+2x\cdot6+6^2=(x+6)^2 \end{gathered}[/tex]
The correct option is OPTION A.
