分解因式:(1)5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)分解因式:5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)

分解因式:(1)5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)分解因式:5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)
分解因式:(1)5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)
分解因式:5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)

分解因式:(1)5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)分解因式:5(x-y)³+10(y-x)² (2)mn(m-n)-m(n-m)
5﹙x－y﹚³＋10﹙y－x﹚²
＝5﹙x－y﹚³＋10﹙x－y﹚²
＝5﹙x－y﹚²﹙x－y＋2﹚
mn﹙m－n﹚－m﹙n－m﹚
＝mn﹙m－n﹚＋m﹙m－n﹚
＝m﹙m－n﹚﹙n＋1﹚

你好，很高兴回答你的问题

①5(x-y)³+10(y-x)²
=(x-y)² [5(x-y) -10]
=(x-y)² (5x-5y-10)
=5(x-y)²(x-y-2)

②mn(m-n)-m(n-m)
=(m-n)(mn+n)
=n(m-n)(m+1)第二问...

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你好，很高兴回答你的问题

①5(x-y)³+10(y-x)²
=(x-y)² [5(x-y) -10]
=(x-y)² (5x-5y-10)
=5(x-y)²(x-y-2)

②mn(m-n)-m(n-m)
=(m-n)(mn+n)
=n(m-n)(m+1)

收起

(1)
5(x-y)³+10(y-x)²
=5(x-y)²(x-y)+10(x-y)²
=(x-y)²(5x-5y+10)
=5(x-y)²(x-y+2)

(2)
mn(m-n)-m(n-m)
=mn(m-n)+m(m-n)
=(m-n)(mn+m)
=m(m-n)(n+1)