Math  /  Algebra

QuestionSimplify the expression (a+1a1+a1a+1)÷(a+1a1a1a+1)\left(\frac{a+1}{a-1}+\frac{a-1}{a+1}\right) \div\left(\frac{a+1}{a-1}-\frac{a-1}{a+1}\right).

Studdy Solution
Finalmente, simplificamos la fracción dividiendo el numerador y el denominador por2.
NumeradorDenominador=a2+2a\frac{Numerador}{Denominador} = \frac{a^2 +}{2a}Por lo tanto, (a+a+aa+)÷(a+aaa+)=a2+2a\left(\frac{a+}{a-}+\frac{a-}{a+}\right) \div\left(\frac{a+}{a-}-\frac{a-}{a+}\right) = \frac{a^2 +}{2a}.

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