Question

Упростите выражение на скрине.

Answer 1

$\frac{c - d}{2d \times (c + d)} + \frac{c + d}{2d \times (c - d)} = \\ \frac{ {c}^{2} - 2cd + {d}^{2} + {c}^{2} + 2cd + {d}^{2} }{2d \times ( {c}^{2} - {d}^{2}) } = \\ \frac{2 {c}^{2} + 2 {d}^{2} }{2d \times ( {c}^{2} - {d}^{2} )} = \frac{2 \times ( {c}^{2} + {d}^{2}) }{2d \times( {c}^{2} - {d}^{2} )} = \\ \frac{ {c}^{2} + {d}^{2} }{d \times ( {c}^{2} - {d}^{2}) } = \\ \frac{ {c}^{2} + {d}^{2} }{ {c}^{2}d - {d}^{3} }$