Simplify the following: (1) $$ \frac{x-1}{x^{2}+3 x+2} \div\left[\frac{x-3}{x+1}-\frac{x-4}{x+2} ight] $$ (2) $$ \frac{\frac{6 x+5}{x-5}}{\frac{3 x+20}{x-5}+2} $$ (3) $$ \frac{a^{2}+\left(1-a^{2} ight)}{(1+a) a} imes \frac{(1+a) a}{a^{2}-\left(1-a^{2} ight)} $$

Question

Simplify the following: (1) $$ \frac{x-1}{x^{2}+3 x+2} \div\left[\frac{x-3}{x+1}-\frac{x-4}{x+2}ight] $$ (2) $$ \frac{\frac{6 x+5}{x-5}}{\frac{3 x+20}{x-5}+2} $$ (3) $$ \frac{a^{2}+\left(1-a^{2}ight)}{(1+a) a} 	imes \frac{(1+a) a}{a^{2}-\left(1-a^{2}ight)} $$

Griffin Beck · Accepted Answer

1. $$ \frac{1}{2} $$ 2. $$ \frac{6x+5}{5x+10} $$ 3. $$ \frac{1}{2a^{2}-1} $$

Simplify the following: (1) \( \frac{x-1}{x^{2}+3 x+2} \div\left[\frac{x-3}{x+1}-\frac{x-4}{x+2}\right] \) (2) \( \frac{\frac{6 x+5}{x-5}}{\frac{3 x+20}{x-5}+2} \) (3) \( \frac{a^{2}+\left(1-a^{2}\right)}{(1+a) a} \times \frac{(1+a) a}{a^{2}-\left(1-a^{2}\right)} \)

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Solución paso a paso

Simplify the following: (1) \( \frac{x-1}{x^{2}+3 x+2} \div\left[\frac{x-3}{x+1}-\frac{x-4}{x+2}\right] \) (2) \( \frac{\frac{6 x+5}{x-5}}{\frac{3 x+20}{x-5}+2} \) (3) \( \frac{a^{2}+\left(1-a^{2}\right)}{(1+a) a} \times \frac{(1+a) a}{a^{2}-\left(1-a^{2}\right)} \)

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Respuesta rápida

Solución paso a paso

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