\(A\ge15\forall x>=1\)
Dấu '=' xảy ra khi x=1
\(B=\left[\left(4x^2+4xy+y^2\right)+2\left(2x+y\right)+1\right]+\left(x^2+2x+1\right)+5\\ B=\left(2x+y+1\right)^2+\left(x+1\right)^2+5\ge5\\ B_{min}=5\Leftrightarrow\left\{{}\begin{matrix}2x+y+1=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-1\\y=1\end{matrix}\right.\)