Question

помогите решить пример по математике пожалуйста

Answer 1

$\frac{a}{ {(a - x)}^{2} } + \frac{3a}{ {x}^{2} + ax - 2 {a}^{2} } + \frac{1}{2a + x} = \\ \\ = \frac{a}{ {(x - a)}^{2} } + \frac{3a}{ (x - a)(x + 2a) } + \frac{1}{x + 2a} = \\ \\ = \frac{a(x + 2a) + 3a(x - a) + {(x - a)}^{2} }{(x + 2a) {(x - a)}^{2} } = \\ \\ = \frac{ax + 2ax + 3ax - 3 {a}^{2} + {x}^{2} - 2ax + {a}^{2} }{(x + 2a) {(x - a)}^{2} } = \\ \\ = \frac{ {x}^{2} + 4ax - 2{a}^{2} }{(x + 2a) {(x - a)}^{2}}$