Câu hỏi của hagdgskd

Question

cho a/b=c/d c/m 2a+3c/2a-3c=2b+3d/2b-3d

Nguyễn Đức Trí · Accepted Answer

$\dfrac{a}{b}=\dfrac{c}{d}\Rightarrow\dfrac{2a}{2b}=\dfrac{3c}{3d}=\dfrac{2a+3c}{2b+3d}=\dfrac{2a-3c}{2b-3d}$

$\Rightarrow\dfrac{2a+3c}{2a-3c}=\dfrac{2b+3d}{2b-3d}$

$\Rightarrow dpcm$Câu trả lời: $\dfrac{a}{b}=\dfrac{c}{d}\Rightarrow\dfrac{2a}{2b}=\dfrac{3c}{3d}=\dfrac{2a+3c}{2b+3d}=\dfrac{2a-3c}{2b-3d}$

$\Rightarrow\dfrac{2a+3c}{2a-3c}=\dfrac{2b+3d}{2b-3d}$

$\Rightarrow dpcm$