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信息发布者:
解​$:(1) $​不合理。改正:最简公分母为​$6(y - 1),$​
​$\frac {x}{3(y - 1)} = \frac {2x}{6(y - 1)},$​
​$\frac {2}{6 - 6y} = \frac {-2}{6(y - 1)}$​
解​$:(2)$​不合理。改正:最简公分母为​$(x - 1)^2(x - 2),$​
​$\frac {1}{(x - 1)(x - 2)} = \frac {x - 1}{(x - 1)^2(x - 2)},$​
​$\frac {2}{x^2 - 2x + 1} = \frac {2(x - 2)}{(x - 1)^2(x - 2)}$​
解:​$(1)$​最简公分母为​$(x + 1)^2(x - 1)$​。
​$\frac {1}{x + 1}=\frac {(x+1)(x - 1)}{(x + 1)^2(x - 1)}$​,
​$\frac {x - 1}{x^2+2x + 1}=\frac {(x - 1)^2}{(x + 1)^2(x - 1)}$​,
​$\frac {1}{x - 1}=\frac {(x + 1)^2}{(x + 1)^2(x - 1)}$​。
解​$:(2)$​最简公分母为​$x(x + 1)(x - 1)。$​
​$\frac {1}{x - 1}=\frac {x(x + 1)}{x(x + 1)(x - 1)},$​
​$\frac {1}{x^2-1}=\frac {x}{x(x + 1)(x - 1)},$​
​$\frac {1}{x^2+x}=\frac {x - 1}{x(x + 1)(x - 1)}。$​
解​$: \frac {1}{3ab},$​​$\frac {1}{4b^2c},$​​$\frac {1}{12a}($​答案不唯一​$)$​