Question

    c                 1           1
------------ : ( ---------- - ---- ) .
  b²- c²             b - c     b
Упростите

Answer 1

$frac{c}{ {b}^{2} - {c}^{2} } div ( frac{1}{b - c} - frac{1}{b} ) = frac{b}{b + c} \ 1)frac{1}{b - c} - frac{1}{b} = frac{b - b + c}{b(b - c)} = frac{ c}{b(b - c)} \ 2) frac{c}{ {b}^{2} - {c}^{2} } div frac{ c}{b(b - c)} = frac{c times b(b - c)}{(b - c)(b + c)c} = frac{b}{b + c}$