(x-6y)/(x²-4y²)+(2y)/(x²-2xy)

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(x-6y)/(x²-4y²)+(2y)/(x²-2xy)
(x-6y)/(x²-4y²)+(2y)/(x²-2xy)

(x-6y)/(x²-4y²)+(2y)/(x²-2xy)
原式=(x-6y)/(x+2y)(x-2y)+2y/x(x-2y)
=(x²-6xy+2xy+4y²)/x(x+2y)(x-2y)
=(x²-4xy+4y²)//x(x+2y)(x-2y)
=(x-2y)²/x(x+2y)(x-2y)
=(x-2y)/(x²+2xy)