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

Pls Help Ive Been Trying All Night I Dont Get It class=

Sagot :

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]

Answer:

Step-by-step explanation:

a²+ 2ab + b² = (a +b)²

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

                         = (x + 6)²