计算:(1) x+2y+(4y^2/x-2y) (2) (x/x^2-1)除以(x^2+4x+3)/(x^2+2x+1)
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3个回答

(1):(x+2y)+4y²/(x-2y)

=[(x+2y)(x-2y)+4y²]/(x-2y)

=x²/(x-2y)

(2):(x²+4x+3)/(x²+2x+1)

=[(x+1)(x+3)]/(x+1)²

=(x+3)/(x+1),所以

原式=x/(x²-1)/[(x+3)/(x+1)](我想你应该是打错了吧)

=[x/(x+1)(x-1)]×[(x+1)/(x+3)]

=x/[(x-1)(x+3)]=x/(x²+2x-3)

(3):原式=12/[(m-3)(m+3)]+2/(3-m)

=12/[(m-3)(m+3)]-2/(m-3)

=[12-2(m+3)]/[(m-3)(m+3)]

= -2(m-3)/[(m+3)(m-3)]

=-2/(m+3)

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