因式分解：①x^2(x-y)+y^2(y-x) ②25(m+n)^2-9n^2

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因式分解：①x^2*(x-y)+y^2*(y-x) ②25(m+n)^2-9n^2
因式分解：①x^2*(x-y)+y^2*(y-x) ②25(m+n)^2-9n^2

因式分解：①x^2*(x-y)+y^2*(y-x) ②25(m+n)^2-9n^2
①x^2*(x-y)+y^2*(y-x)
=(x-y)(x^2-y^2)
=(x+y)*(x-y)^2

②25(m+n)^2-9n^2
=[5(m+n))^2-(3n)^2
=(5m+5n+3n)*(5m+5n-3n)
=(5m+8n)*(5m+2n)

1、
x^2(x-y)+y^2(y-x)
=x^2(x-y)-y^2(x-y)
=(x^2-y^2)(x-y)
=(x-y)^2(x+y)
2、
25(m+n)^2-9n^2
=[5(m+n)]^2-(3n)^2
=[(5m+5n)+3n][(5m+5n)-3n]
=(5m+8n)(5m+2n)

楼下对的采纳吧

①x^2(x-y)+y^2(y-x)
=x^2(x-y)-y^2(x-y)
=(x^2-y^2)(x-y)
=(x-y)(x+y)(x-y)
=(x-y)^2(x+y)
②25(m+n)^2-9n^2
=[5(m+n)]^2-(3n)^2
=[(5m+5n)+3n][(5m+5n)-3n]
=(5m+8n)(5m+2n)
【望采纳~】

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