Question

Упростите выражение
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Answer 1

Объяснение:

$( \frac{2x}{x {}^{2} - 4 } + \frac{1}{2 - x}) \div \frac{1}{x {}^{2} + 4x + 4 } = ( \frac{2x}{(x - 2) \times (x + 2)} + \frac{1}{ - (x - 2)} ) \times (x {}^{2} + 4x + 4) = ( \frac{2x}{( x - 2) \times (x + 2)} - \frac{1}{x - 2} ) \times (x + 2) {}^{2} = \frac{2x - ( + 2)}{(x - 2) \times (x + 2)} \times (x + 2) {}^{2} = \frac{2x - x - 2}{(x - 2) \times (x + 2)} \times (x + 2) {}^{2} = \frac{x - 2}{(x - 2) \times (x + 2)} \times (x + 2) {}^{2} = \frac{1}{x + 2} \times (x + 2) {}^{2} = x + 2$