a: \(=-\left(x^2+4x+4-4\right)=-\left(x+2\right)^2+4< =4\)
Dấu = xảy ra khi x=-2
b: \(=-\left(x^2-2x+1-1\right)=-\left(x-1\right)^2+1< =1\)
Dấu = xảy ra khi x=1
c: \(=-\left(x^2+6x-3\right)=-\left(x^2+6x+9-12\right)\)
\(=-\left(x+3\right)^2+12< =12\)
Dấu = xảy ra khi x=-3
d: \(=-\left(x^2-12x+36-36\right)=-\left(x-6\right)^2+36< =36\)
Dấu = xảy ra khi x=6
\(A=-x^2-4x\)
\(\Rightarrow-x^2-4x\ge0\\ \Leftrightarrow x\left(x-4\right)\le0\\ \Leftrightarrow x\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)\le0\\ \Leftrightarrow\left[{}\begin{matrix}x\le0\\x\le4\end{matrix}\right.\)
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