\(M=\left(-4x^2+2xy-\frac{y^2}{4}\right)-x^2+2x-1-\frac{3}{4}y^2+2y-2\)
\(M=-\left(4x^2-2\cdot2x\cdot\frac{y}{2}+\frac{y^2}{4}\right)-\left(x-1\right)^2-3\left(\frac{y^2}{4}-\frac{2y}{3}\right)-2\)
\(M=-\left(2x-\frac{y}{2}\right)^2-\left(x-1\right)^2-3\left(\frac{y^2}{4}-2\cdot\frac{y}{2}\cdot\frac{2}{3}+\frac{4}{9}-\frac{4}{9}\right)-2\)
\(M=-\left(2x-\frac{y}{2}\right)^2-\left(x-1\right)^2-3\left(\frac{y}{2}-\frac{2}{3}\right)^2+\frac{4}{3}-2\)
\(M\subseteq\frac{4}{3}-2=-\frac{2}{3}\)
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