a: \(2xy+16xy^3-4x^3y\)
\(=2xy\left(1+8y^2-4x^2\right)\)
b: \(4\left(x-3\right)^2-2x\left(x-3\right)\)
\(=2\left(x-3\right)\left(2x-6-2x\right)\)
\(=-12\left(x-3\right)\)
c: \(\left(3x-1\right)^2-\left(x+1\right)^2\)
\(=\left(3x-1-x-1\right)\left(3x-1+x+1\right)\)
\(=8\left(x-1\right)\)
d: \(x^2-4-3xy-6y\)
\(=\left(x-2\right)\left(x+2\right)-3y\left(x+2\right)\)
\(=\left(x+2\right)\left(x-2-3y\right)\)
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