Ответ:
[tex]\frac{14}{9x}[/tex]
[tex]\frac{5x - 30}{x^{2} - 25}[/tex]
Объяснение:
[tex]\frac{5}{9x} + \frac{1}{x} = \frac{5}{9x} + \frac{9}{9x} = \frac{5 + 9}{9x} = \frac{14}{9x}[/tex]
[tex]\frac{6}{x + 5} - \frac{x}{x^{2} - 25} = \frac{6}{x + 5} - \frac{x}{(x - 5)(x + 5)} = \frac{6(x - 5)}{x + 5} - \frac{x}{(x - 5)(x + 5)} = \frac{6x - 30 - x}{(x - 5)(x + 5)} = \frac{5x - 30}{(x - 5)(x + 5)} = \frac{5x - 30}{x^{2} - 25}[/tex]
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Verified answer
Ответ:
[tex]\frac{14}{9x}[/tex]
[tex]\frac{5x - 30}{x^{2} - 25}[/tex]
Объяснение:
[tex]\frac{5}{9x} + \frac{1}{x} = \frac{5}{9x} + \frac{9}{9x} = \frac{5 + 9}{9x} = \frac{14}{9x}[/tex]
[tex]\frac{6}{x + 5} - \frac{x}{x^{2} - 25} = \frac{6}{x + 5} - \frac{x}{(x - 5)(x + 5)} = \frac{6(x - 5)}{x + 5} - \frac{x}{(x - 5)(x + 5)} = \frac{6x - 30 - x}{(x - 5)(x + 5)} = \frac{5x - 30}{(x - 5)(x + 5)} = \frac{5x - 30}{x^{2} - 25}[/tex]