Question

упростите
$( frac{x + 2}{x - 2} - frac{x}{x + 2}) times frac{ x - 2}{3x + 2}$
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Answer 1

$( frac{x + 2}{x - 2} - frac{x}{x + 2} ) times frac{x - 2}{3x + 2} = frac{2}{x + 2} \ \ 1) frac{x + 2}{x - 2} - frac{x}{x + 2} = frac{(x + 2)(x + 2) - x(x - 2)}{(x - 2)(x + 2)} = frac{x {}^{2} + 4x + 4 - x {}^{2} + 2x}{(x - 2)(x + 2)} = frac{6x + 4}{(x - 2)(x + 2)} = frac{2(3x + 2)}{(x + 2)(x - 2)}\\ 2) : frac{2(3x + 2) times (x - 2)}{(x + 2)(x - 2) times (3x + 2)} = frac{2}{x + 2}$

Answer 2

спасибо, у меня также