Question

化简1-x-y/x+2y÷x^2-y^2/x^2+4xy+4y^2

Answer 1

1-(x-y)/(x+2y)÷(x²-y²)/(x²+4xy+4y²)

=1-(x-y)/(x+2y)÷[(x+y)(x-y)]/(x+2y)²

=1-(x-y)/(x+2y)×(x+2y)²/[(x+y)(x-y)]

=1-(x+2y)/(x+y)

=[(x+y)-(x+2y)]/(x+y)

=-y/(x+y)

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