因式分解:(1)5a^2b(x-y)^2-10ab^2(y-x)^3 (2)9a^2+x^2n+6a+2x^n+6ax^n+1

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因式分解:(1)5a^2b(x-y)^2-10ab^2(y-x)^3 (2)9a^2+x^2n+6a+2x^n+6ax^n+1
因式分解:(1)5a^2b(x-y)^2-10ab^2(y-x)^3 (2)9a^2+x^2n+6a+2x^n+6ax^n+1

因式分解:(1)5a^2b(x-y)^2-10ab^2(y-x)^3 (2)9a^2+x^2n+6a+2x^n+6ax^n+1
5a^2b(x-y)^2-10ab^2(y-x)^3
=5ab(x-y)^2[a-2b(y-x)]
=5ab(x-y)^2(a-2by+2bx)
(2)9a^2+x^2n+6a+2x^n+6ax^n+1
=(x^2n+2x^n+1)+(6a+6ax^n)+9a^2
=(1+x^n)^2+6a(1+x^n)+9a^2
=(1+x^n+3a)^2