\(a,x=\dfrac{1}{2};y=-100\)
\(\Rightarrow A=\dfrac{1}{2}\left[\left(\dfrac{1}{2}\right)^2+100\right]-\left(\dfrac{1}{2}\right)^2\left(\dfrac{1}{2}-100\right)-100\left[\left(\dfrac{1}{2}\right)^2-\dfrac{1}{2}\right]\)
\(\Rightarrow A=100\)
\(b,x=-1\)
\(\Rightarrow B=\left[\left(-1\right)^2-5\right]\left(-1+3\right)+\left(-1+4\right)\left[-1-\left(-1\right)^2\right]\)
\(\Rightarrow B=-14\)
\(c,x=-2\)
\(\Rightarrow C=-6\left(5.4-2\right)-5.4\left(7-6\right)-2,5\left(2-14.4\right)\)
\(\Rightarrow C=7\)
\(d,\left|x\right|=2\)
\(TH_1:x\ge0\)
\(D=\left(3.2+5\right)\left(2.2-1\right)+\left(4.2-1\right)\left(3.2+2\right)=89\)
\(TH_2:x< 0\)
\(D=\left(-6+5\right)\left(-4-1\right)+\left(-8-1\right)\left(-6+2\right)=41\)