Автор - Hizako

Решите пример и объясните
 frac{7 alpha }{ alpha  ^{2} -4 beta  ^{2} }- frac{7  }{ alpha -2 beta }

Ответ

Автор - alfabetta
7a/(a²-4b²)-7/(a-2b)=7a/(a-2b)(a+2b)-7/(a-2b)=7a/(a-2b)(a+2b)-7(a+2b)/(a-2b)(a+2b)=
=(7a-7(a+2b))/(a-2b)(a+2b)=(7a-7a-14b)/(a²-4b²)=-14b/(a²-4b²)=14b/(4b²-a²)

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