30 баллов! Алгебра Упростить выражение [tex]1+ \frac{2a-1}{a^2-2a+1}- \frac{a}{a-1} [/tex]. Created by JenniferF. algebra-ru

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30 баллов! Алгебра
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[tex]1+ \frac{2a-1}{a^2-2a+1}- \frac{a}{a-1} [/tex]

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NNNLLL54

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$1+ \frac{2a-1}{a^2-2a+1} -\frac{a}{a-1}=1+ \frac{2a-1}{(a-1)^2}-\frac{a}{a-1}= \frac{(a-1)^2+2a-1-a(a-1)}{(a-1)^2}=\\\\= \frac{a^2-2a+1+2a-1-a^2+a}{(a-1)^2}= \frac{a}{(a-1)^2}$

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