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(x^8-y^8)/(x^4+y^4)/(x^2+y^2)/(x+y)
题目详情
(x^8-y^8)/(x^4+y^4)/(x^2+y^2)/(x+y)
▼优质解答
答案和解析
(x^8-y^8)/(x^4+y^4)/(x^2+y^2)/(x+y)
(x^8-y^8)/[(x^4+y^4)(x^2+y^2)(x+y) ]
=(x^4-y^4)(x^4+y^4)/[(x^4+y^4)(x^2+y^2)(x+y) ]
=(x^4-y^4)/[(x^2+y^2)(x+y)]
=(x^2-y^2)(x^2+y^2)/[(x^2+y^2)(x+y)]
=(x^2-y^2)/(x+y)
=(x+y)(x-y)/(x+y)
=x-y
(x^8-y^8)/[(x^4+y^4)(x^2+y^2)(x+y) ]
=(x^4-y^4)(x^4+y^4)/[(x^4+y^4)(x^2+y^2)(x+y) ]
=(x^4-y^4)/[(x^2+y^2)(x+y)]
=(x^2-y^2)(x^2+y^2)/[(x^2+y^2)(x+y)]
=(x^2-y^2)/(x+y)
=(x+y)(x-y)/(x+y)
=x-y
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