a: \(A=2x^2-5x-2x\left(x+1\right)\)
\(=2x^2-5x-2x^2-2x\)
=-7x
b: \(B=\left(x+2y\right)\left(x-2y\right)-4y\left(x-y\right)\)
\(=x^2-4y^2-4xy+4y^2\)
\(=x^2-4xy\)
c: \(C=\left(2x-8\right)\left(x^2+4x+16\right)-2x\left(x^2-2\right)\)
\(=2\left(x-4\right)\left(x^2+4x+16\right)-2x\left(x^2-2\right)\)
\(=2\left(x^3-64\right)-2x^3+4x\)
\(=2x^3-128-2x^3+4x=4x-128\)