16x³-24x²y²+12xy^4-2y^6

16x³-24x²y²+12xy^4-2y^6
=(16x^3-16x^2y^2+4xy^4)-8x^2y^2+8xy^4-2y^6
=4x(4x^2-4xy^2+y^4)-2y^2(4x^2-4xy^2+y^4)
=4x(2x-y^2)^2-2y^2(2x-y^2)^2
=(4x-2y^2)(2x-y^2)^2
=2(2x-y^2)(2x-y^2)^3
=2(2x-y^2)^3

16x³-24x²y²+12xy^4-2y^6
=2(8x³-12x²y²+6xy^4-y^6)
=2(2x-y²)³