5(x-y)的二次方+15(x-y)的三次方,我刚学不太懂谢谢了!

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5(x-y)的二次方+15(x-y)的三次方,我刚学不太懂谢谢了!
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5(x-y)的二次方+15(x-y)的三次方,我刚学不太懂谢谢了!
5(x-y)的二次方+15(x-y)的三次方,我刚学不太懂谢谢了!

5(x-y)的二次方+15(x-y)的三次方,我刚学不太懂谢谢了!
5(x-y)的二次方+15(x-y)的三次方
=5(x-y)²【1-3(x-y)】
=5(x-y)²(1-3x+3y)
如果本题有什么不明白可以追问,

5(x-y)^2=5(x^2-2xy+y^2)
15(x-y)^3=15(x-y)(x-y)^2=15(x-y)(x^2-2xy+y^2)=15(x^3+3xy^2-3x^2y-y^3)
这种纯粹的化简
还有一种方法:提取公因式
5(x-y^2+15(x-y)^3
=5(x-y)²(1+3x-3y)=

5(x-y)²...

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5(x-y)^2=5(x^2-2xy+y^2)
15(x-y)^3=15(x-y)(x-y)^2=15(x-y)(x^2-2xy+y^2)=15(x^3+3xy^2-3x^2y-y^3)
这种纯粹的化简
还有一种方法:提取公因式
5(x-y^2+15(x-y)^3
=5(x-y)²(1+3x-3y)=

5(x-y)²(1-3x+3y)
有什么不懂的可以继续问我,希望采纳!!!谢谢!!!

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