Question

допоможіть з алгеброю

Answer 1

$\displaystyle\bf\\\frac{c^{2}-5c+cx-5x }{c^{2}+5c+cx+5x } :\frac{2c-10}{6c+30} =\frac{(c^{2}-5c)+(cx-5x )}{(c^{2}+5c)+(cx+5x )} :\frac{2\cdot(c-5)}{6\cdot(c+5)} =\\\\\\=\frac{c\cdot(c-5)+x\cdot(c-5)}{c\cdot(c+5)+x\cdot(c+5)} \cdot\frac{3\cdot(c+5)}{c-5} =\\\\\\=\frac{(c-5)\cdot(c+x)}{(c+5)\cdot(c+x)} \cdot\frac{3\cdot(c+5)}{c-5} =3\\\\\\Otvet \ : \ 3$