Question

Chứng minh nếu u+2/u-2=v+3/v-3 thì u/3=v/2

Answer 1

\(\frac{u+2}{u-2}=\frac{v+3}{v-3}\)

\(\Rightarrow\left(u+2\right).\left(v-3\right)=\left(u-2\right).\left(v+3\right)\)

\(\Rightarrow u\left(v-3\right)+2\left(v-3\right)=u\left(v+3\right)-2\left(v+3\right)\)

\(\Rightarrow uv-3u+2v-6=uv+3u-2v-6\Rightarrow uv-3u+2v=uv+3u-2v\)

\(\Rightarrow-3u+2v=3u-2v\Rightarrow2v-3u=3u-2v\Rightarrow2v+2v=3u+3u\Rightarrow4v=6u\Rightarrow\frac{u}{3}=\frac{v}{2}\)

Answer 2

cm như bạn trên là  đúng đấy bạn ạ