Question

cmr: \(\frac{2a+3c}{2b+3d}\)= \(\frac{2a-3c}{2b-3d}\)

 

Answer 1

cho \(\frac{a}{b}\)= \(\frac{c}{d}\)

Answer 2

Ta có: \(\frac{a}{b}=\frac{c}{d}\)

\(\implies \frac{2a}{2b}=\frac{3c}{3d}\)

Áp dụng tính chất dãy tỉ số bằng nhau ta có:

\(\frac{2a}{2b}=\frac{3c}{3d}=\frac{2a+3c}{2b+3d}=\frac{2a-3c}{2b-3d}\)

Vậy \(\frac{a}{b}=\frac{c}{d}\) thì \(\frac{2a+3c}{2b+3d}=\frac{2a-3c}{2b-3d}\) (đpcm).

_Học tốt_

Answer 3

\(\frac{a}{b}=\frac{c}{d}\Rightarrow\frac{2a}{2b}=\frac{3c}{3d}=\frac{2a+3c}{2b+3d}=\frac{2a-3c}{2b-3d}\)

Chúc bạn học tốt!