Answer:
[tex]x^2 + 12x +36 = (x+6)^2[/tex]
Step-by-step explanation:
[tex]x^{2} + 12x +36\\\\\\Step 1: Find\ factors \ of\ 36\ that \ add \ to \ +12.\\(1, 36)\ , \ ( 2, 18), \ (3, 12), \ (4, 9), \ (6, 6)\\\\Step2. \ From \ the \ pairs \ above \ (6 , 6) \ adds \ to \ +12.\\\\So \ the \ equation \ can\ be \ written \ as \\x^{2} + 6x +6x +36 = (x^{2} + 6x) + (6x + 36)[/tex]
[tex]= x(x + 6) + 6(x+6)\\\\=(x+6)(x+6)\\\\=(x+6)^2[/tex]
