Question

Pls help I've been trying all night I don't get it ​

Answer 1

`x^2 + 12x +36 = (x+6)^2`

Explanation:

`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)`

`= x(x + 6) + 6(x+6)\\\\=(x+6)(x+6)\\\\=(x+6)^2`

Answer 2

Explanation:

a²+ 2ab + b² = (a +b)²

x² + 12x + 36 = x² + 2 * x * 6 + 6² {Here a = x and b = 6}

= (x + 6)²