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化简(x＋y)/(x∧1/3+y1/3)＋(x∧4/3-y∧4/3)/(x∧2/3-x∧2/3)(x＋y)/(x∧1/3+y1/3)＋(x∧4/3-y∧4/3)/(x∧2/3-x∧2/3)
题目详情
化简(x＋y)/(x∧1/3+y1/3)＋(x∧4/3-y∧4/3)/(x∧2/3-x∧2/3)
(x＋y)/(x∧1/3+y1/3)＋(x∧4/3-y∧4/3)/(x∧2/3-x∧2/3)
(x＋y)/(x∧1/3+y1/3)＋(x∧4/3-y∧4/3)/(x∧2/3-x∧2/3)
▼优质解答
答案和解析
应该是(x＋y)/(x∧1/3+y1/3)＋(x∧4/3-y∧4/3)/(x∧2/3-y∧2/3)
=(x^1/3+y^1/3)(x^2/3-x^1/3*y^1/3+y^2/3)/(x^1/3+y^1/3)+(x^2/3+y^2/3)(x^2/3-y^2/3)/(x^2/3-y^2/3)
=(x^2/3-x^1/3*y^1/3+y^2/3)+(x^2/3+y^2/3)
=2x^2/3-x^1/3*y^1/3+2y^2/3
=(x^1/3+y^1/3)(x^2/3-x^1/3*y^1/3+y^2/3)/(x^1/3+y^1/3)+(x^2/3+y^2/3)(x^2/3-y^2/3)/(x^2/3-y^2/3)
=(x^2/3-x^1/3*y^1/3+y^2/3)+(x^2/3+y^2/3)
=2x^2/3-x^1/3*y^1/3+2y^2/3
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