求助几道分式方程.急!
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求助几道分式方程.急!
1. [(a-b)/(a+b)]*[(a^4-a^2*b^2)/(a^2-ab^2)]
2. [(4x^2-4x+y^2)/(2x+y)]/(4x^2-y^2)
回答的好另外加分.要快!谢谢
1. [(a-b)/(a+b)]*[(a^4-a^2*b^2)/(a^2-ab^2)]
2. [(4x^2-4x+y^2)/(2x+y)]/(4x^2-y^2)
回答的好另外加分.要快!谢谢
1.[(a - b)/(a + b)] * [(a^4 - a^2 * b^2) / (a^2 - ab^2)]
=[(a - b) / (a + b)] * [a^2(a^2 - b^2) / a(a - b^2)]
=[(a - b) / (a + b)] * {[a^2 * (a + b) * (a - b)] / a(a - b^2)}
=[a * (a + b)^2] / (a - b^2)
2.[(4x^2 - 4x + y^2)/(2x + y)] / (4x^2 - y^2)
=(2x - y)^2/[(2x + y)*(2x + y)*(2x - y)]
=(2x - y)/(2x + y)^2
=[(a - b) / (a + b)] * [a^2(a^2 - b^2) / a(a - b^2)]
=[(a - b) / (a + b)] * {[a^2 * (a + b) * (a - b)] / a(a - b^2)}
=[a * (a + b)^2] / (a - b^2)
2.[(4x^2 - 4x + y^2)/(2x + y)] / (4x^2 - y^2)
=(2x - y)^2/[(2x + y)*(2x + y)*(2x - y)]
=(2x - y)/(2x + y)^2