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x^2-2xy+y^2/x^2+6xy+9y^2乘x^2—9y^2/3x^2y乘2x(x+3y)x-y
题目详情
x^2-2xy+y^2/x^2+6xy+9y^2乘x^2—9y^2/3x^2y乘2x(x+3y)
x-y
x-y
▼优质解答
答案和解析
(x²-2xy+y²)/(x²+6xy+9y²)×(x²-9y²)/(3x²y)×2x(x+3y)(x-y)
=(x-y)²/(x+3y)²×[(x+3y)(x-3y)]/(3x²y)×2x(x+3y)(x-y)
=[2(x-y)³(x-3y)]/(3xy)
=(x-y)²/(x+3y)²×[(x+3y)(x-3y)]/(3x²y)×2x(x+3y)(x-y)
=[2(x-y)³(x-3y)]/(3xy)
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