(y^2-x^2)/(5x^2-4xy)除于(x+y)/(5x-4y)

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(y^2-x^2)/(5x^2-4xy)除于(x+y)/(5x-4y)
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(y^2-x^2)/(5x^2-4xy)除于(x+y)/(5x-4y)
(y^2-x^2)/(5x^2-4xy)除于(x+y)/(5x-4y)

(y^2-x^2)/(5x^2-4xy)除于(x+y)/(5x-4y)
原式=(y-x)(y+x)/x(5x-4y) ÷ (x+y)/(5x-4y)
=(y-x)(y+x)/x(5x-4y) *(5x-4y)/(x+y)
=(y-x)/x
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[(y^2-x^2)/(5x^2-4xy)]/[(x+y)/(5x-4y)]
={(x+y)(x-y)/[x(5x-4y)]}/[(x+y)/(5x-4y)]
=(x-y)/x