Question

化简:2x/(x²-4y²)+2/(2y-x)+1

Answer 1

2x/(x²-4y²)+2/(2y-x)+1

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

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

=(2x-2x-4y)/[(x+2y)(x-2y)]

=1-4y/(x²-4y²)

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