因式分解:2x^5m-1 * y^m -4x^3m-1 * y^m+2 +2x^m-1 * y^n+4

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因式分解:2x^5m-1 * y^m -4x^3m-1 * y^m+2 +2x^m-1 * y^n+4
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因式分解:2x^5m-1 * y^m -4x^3m-1 * y^m+2 +2x^m-1 * y^n+4
因式分解:2x^5m-1 * y^m -4x^3m-1 * y^m+2 +2x^m-1 * y^n+4

因式分解:2x^5m-1 * y^m -4x^3m-1 * y^m+2 +2x^m-1 * y^n+4
首先可以发现三项都含有公因式:2x^(m-1)*y^m
最后一个n应该为m:
2x^5m-1 * y^m -4x^3m-1 * y^m+2 +2x^m-1 * y^m+4 提取公因式
=2x^(m-1)*y^m[x^4m-2x^2my^2+y^4] 括号内为完全平方式
=2x^(m-1)*y^m(x^2m-y^2)^2 括号内为平方差公式
=2x^(m-1)*y^m(x^m-y)^2*(x^m+y)^2

写错了吧 最后怎么又出来个n?是不是m啊?

原式=2x^(m-1)*y^m(x^4m-2x^2my^2+y^4)
=2x^(m-1)*y^m(x^2m--y^2)^2
=2x^(m-1)*y^m(x^m+y)^2(x^m-y)^2

原式=2x^(m-1)*y^m(x^4m-2x^2my^2+y^4)
=2x^(m-1)*y^m(x^2m--y^2)^2
=2x^(m-1)*y^m(x^m+y)^2(x^m-y)^2
我喺杨晓峰,一定要采纳