Question

2x^2/x^2-4 - 2x/x+2выполни действие ​

Answer 1

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