Question

упростите выражения c - d/c ^2 +cd - c/d^2 +cd ÷ d^2 /c^ 3- cd^2 + 1/ c +d​

Answer 1

Ответ:

$\Big(\dfrac{c-d}{c^2+cd}-\dfrac{c}{d^2+cd}\Big):\Big(\dfrac{d^2}{c^3-cd^2}+\dfrac{1}{c+d}\Big)=\\\\\\=\Big(\dfrac{c-d}{c(c+d)}-\dfrac{c}{d(c+d)}\Big):\Big(\dfrac{d^2}{c(c-d)(c+d)}+\dfrac{1}{c+d}\Big)=\\\\\\=\dfrac{cd-d^2-c^2}{c\, d(c+d)}:\dfrac{d^2+c^2-cd}{c(c-d)(c+d)}=\\\\\\=\dfrac{cd-d^2-c^2}{c\, d(c+d)}\cdot \dfrac{c(c-d)(c+d)}{-(cd-d^2-c^2)}=-\dfrac{c-d}{d}=\dfrac{d-c}{d}$