因式分解:(1)5a^2b(x-y)^2-10ab^2(y-x)^3 (2)9a^2+x^2n+6a+2x^n+6ax^
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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^](/uploads/image/z/18212050-10-0.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%895a%5E2b%28x-y%29%5E2-10ab%5E2%28y-x%29%5E3+%EF%BC%882%EF%BC%899a%5E2%2Bx%5E2n%2B6a%2B2x%5En%2B6ax%5E)
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
=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
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