I need help please....
Find the domain of the rational function F(x)=-2(x^2-4)/3(x^2+4x+4)
I have factored them correctly but it said after I factored them I shouldn't reduce any common factors and should find the domain of the function using its factored form and that I need to state the domain in interval notation. I am lost and do not know how to work this out apparently

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\[x^2+4x+4\neq0 \]
\[(x+2)^2\neq0\]
so the domain interval is:

\[x^2+4x+4\neq0 \]
\[(x+2)^2\neq0\]
so the domain interval is: \[x \in(-\infty,-2)\cup(-2,+\infty)\]

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