Question

Упрости выражение (v−8vv+2):v−6v+2

Answer 1

Упростить выражение:

$\frac{\left(v-\frac{8v}{v+2}\right)}{\frac{v-6}{v+2}} =\frac{\left(v-\frac{8v}{v+2}\right)\left(v+2\right)}{v-6} = \frac{\frac{v\left(v+2\right)-8v}{v+2}(v+2)}{v-6} =\\\\= \frac{\frac{v^2-6v}{v+2}\left(v+2\right)}{v-6}=\frac{v^2-6v}{v-6}=\frac{v\left(v-6\right)}{v-6} = v$