a^2+2(2b-c)a-12b^2+20bc-8c^2x^2(9-y^2)+(y^2-1)+8xya^3-6a^2b+12b^2-9b^3

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a^2+2(2b-c)a-12b^2+20bc-8c^2x^2(9-y^2)+(y^2-1)+8xya^3-6a^2b+12b^2-9b^3a^2+2(2b-c)a-12b^2+20bc-8c^2x^

a^2+2(2b-c)a-12b^2+20bc-8c^2x^2(9-y^2)+(y^2-1)+8xya^3-6a^2b+12b^2-9b^3
a^2+2(2b-c)a-12b^2+20bc-8c^2
x^2(9-y^2)+(y^2-1)+8xy
a^3-6a^2b+12b^2-9b^3

a^2+2(2b-c)a-12b^2+20bc-8c^2x^2(9-y^2)+(y^2-1)+8xya^3-6a^2b+12b^2-9b^3
(1)(a+6b-4c)(a-2b+2c)
(2)原式=9x²-x²y²+y²-1+8xy
=9x²+6xy+y²-(x²y²-2xy+1)
=(3x+y)²-(xy-1)²
=(3x+y+xy-1)(3x+y-xy+1)
(3)(a-3b)(a-3ab+3b²)

a^2+2(2b-c)a-12b^2+20bc-8c^2
=(x-2y+2z)(x+6y-4z)