Răspuns:
1/x
Explicație pas cu pas:
[tex]a) \frac{1}{x} \frac{x + 1}{ {x}^{2} } \frac{ {x}^{4} }{x + 1} = x \\ b) \frac{ {x}^{2} - 1}{x + 2} \frac{x}{x - 1} \frac{x + 2}{ {x}^{2} } = \\ \frac{(x -1 )(x + 1)}{x(x - 1)} = \frac{x + 1}{x} [/tex]
[tex]c) \frac{2x + 1}{x + 3} \div ( \frac{2x + 1}{x - 2} \frac{x - 2}{x + 3} ) = \\ \frac{2x + 1}{x + 3} \frac{x + 3}{2x + 1} = 1 \\ d)( \frac{ {x}^{2} - 4 }{x - 1} \frac{ {x}^{2} - 1}{x + 2} ) \frac{x}{x - 2} = \\ (x - 2)(x + 1) \frac{x}{x - 2} = x(x + 1)[/tex]
