-2a^3+12a^2*b-18ab^2(2)4(a-b)x^2+8(b-a)xy+4(a-b)y^2

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-2a^3+12a^2*b-18ab^2(2)4(a-b)x^2+8(b-a)xy+4(a-b)y^2
-2a^3+12a^2*b-18ab^2
(2)4(a-b)x^2+8(b-a)xy+4(a-b)y^2

-2a^3+12a^2*b-18ab^2(2)4(a-b)x^2+8(b-a)xy+4(a-b)y^2
-2a^3+12a^2*b-18ab^2
=-2a(a^2-6ab+9b^2)
=-2a(a-3b)^2
4(a-b)x^2+8(b-a)xy+4(a-b)y^2
=4(a-b)(x+y)^2

-2a^3+12a^2*b-18ab^2
=-2a(a²-6ab+9b²)
=-2a(a-3b)²


4(a-b)x^2+8(b-a)xy+4(a-b)y^2
=4(a-b)x^2-8(a-b)xy+4(a-b)y^2
=4(a-b)(x^2-2xy+y^2)
=4(a-b)(x-y)^2

-2a^3+12a^2*b-18ab^2
=-2a(a^2-6ab+9b^2)
=-2a(a-3b)^2