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分解因式x^5-y^5-(x-y)^5

题目详情
分解因式x^5-y^5-(x-y)^5
▼优质解答
答案和解析
x^5-y^5-(x-y)^5
=x^5-y^5-(x-y)(x-y)(x-y)(x-y)(x-y)
=x^5-y^5-x^5+y^5+5x^4y^-10x^3y^2+10x^2y^3-5xy^4
=5x^4y^-10x^3y^2+10x^2y^3-5xy^4