Ответ:
[tex] \frac{ {x}^{2} + 5x - 14}{ {x}^{2} - 4} [/tex]
[tex] \frac{ {x}^{2} - 7x - 2x - 14}{ {x}^{2} - {2}^{2} } [/tex]
[tex] \frac{ {x}^{2} + 7x - 2x - 14 }{(x - 2)( x + 2)} [/tex]
[tex] \frac{x(x + 7) - 2(x + 7)}{(x - 2)(x + 2)} [/tex]
[tex] \frac{(x + 7)(x - 2)}{(x - 2)(x + 2)} [/tex]
сокращаем на общий делитель x-2:
[tex] \frac{x + 7}{x + 2} [/tex]
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Ответ:
[tex] \frac{ {x}^{2} + 5x - 14}{ {x}^{2} - 4} [/tex]
[tex] \frac{ {x}^{2} - 7x - 2x - 14}{ {x}^{2} - {2}^{2} } [/tex]
[tex] \frac{ {x}^{2} + 7x - 2x - 14 }{(x - 2)( x + 2)} [/tex]
[tex] \frac{x(x + 7) - 2(x + 7)}{(x - 2)(x + 2)} [/tex]
[tex] \frac{(x + 7)(x - 2)}{(x - 2)(x + 2)} [/tex]
сокращаем на общий делитель x-2:
[tex] \frac{x + 7}{x + 2} [/tex]