(1)0.5a^2(x-2a)^2-0.25a(2a-x)^3(2)-0.25(2a-b)^2+4(a-0.5b)^2(3)5(x-y)^3+10(y-x)^2(4)2a(x-a)+4b(a-x)-6c(x-a)(5)(x^2-6X)^2+18(x^2-6x)+81

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(1)0.5a^2(x-2a)^2-0.25a(2a-x)^3(2)-0.25(2a-b)^2+4(a-0.5b)^2(3)5(x-y)^3+10(y-x)^2(4)2a(x-a)+4b(a-x)-6c(x-a)(5)(x^2-6X)^2+18(x^2-6x)+81
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(1)0.5a^2(x-2a)^2-0.25a(2a-x)^3(2)-0.25(2a-b)^2+4(a-0.5b)^2(3)5(x-y)^3+10(y-x)^2(4)2a(x-a)+4b(a-x)-6c(x-a)(5)(x^2-6X)^2+18(x^2-6x)+81
(1)0.5a^2(x-2a)^2-0.25a(2a-x)^3
(2)-0.25(2a-b)^2+4(a-0.5b)^2
(3)5(x-y)^3+10(y-x)^2
(4)2a(x-a)+4b(a-x)-6c(x-a)
(5)(x^2-6X)^2+18(x^2-6x)+81

(1)0.5a^2(x-2a)^2-0.25a(2a-x)^3(2)-0.25(2a-b)^2+4(a-0.5b)^2(3)5(x-y)^3+10(y-x)^2(4)2a(x-a)+4b(a-x)-6c(x-a)(5)(x^2-6X)^2+18(x^2-6x)+81
1.0.5a^2(x-2a)^2-0.25a(2a-x)^3
=(x-2a)^2[0.5a^2+0.25a(x-2a)]
=(x-2a)^2*0.25ax
2.-0.25(2a-b)^2+4(a-0.5b)^2
=-0.25(2a-b)^2+(2a-b)^2
=0.75(2a-b)^2
3.5(x-y)^3+10(y-x)^2
=(x-y)^2[5(x-y)+10]=5(x-y)^2(x-y+2)
4.2a(x-a)+4b(a-x)-6c(x-a)
=(x-a)[2a-4b-6c]
5.(x^2-6X)^2+18(x^2-6x)+81
=(x^2-6x+9)^2
=(x-3)^4

1.0.25a(2a-x)^2(2a-2a+x)=0.25ax(2a-x)^2
2.[2(a-0.5b)+0.5(2a-b)][2a-b-a+0.5b]=(3a-2b)(a-0.5b)
3.5(x-y)^2(x-y+2)
4.(x-a)(2a-4b-6c)
5.(x^2-6x+9)^2=(x-3)^4

1-4题主要是提取公因式,第5题用完全平方公式。