Ta thấy: \(\left|x+1\right|\ge0\)
\(\Rightarrow\left|x+1\right|^3\ge0\)
\(\Rightarrow\left|x+1\right|^3+1050\ge1050\)
\(\Rightarrow A\ge1050\)
Dấu "=" xảy ra khi \(\left|x+1\right|=0\Leftrightarrow x+1=0\Leftrightarrow x=-1\)
Vậy \(Min_A=1050\) khi \(x=-1\)