Vì \(\frac{a}{b}=\frac{c}{d}=k\Rightarrow a=bk;c=kd\)
\(\Rightarrow\frac{2a-3c}{2b-3d}=\frac{2bk-3dk}{2b-3d}=\frac{k\left(2b-3d\right)}{2b-3d}=k\)(1)
\(\Rightarrow\frac{2a+3c}{2b+3d}=\frac{2bk+3dk}{2b+3d}=\frac{k\left(2b+3d\right)}{2b+3d}=k\)(2)
\(\RightarrowĐPCM\)
Cho \(\frac{a}{b}=\frac{c}{d}\), Chứng minh rằng \(\frac{2a-3c}{2b-3d}=\frac{2a+3c}{2a+3d}\)
Cho \(\frac{a}{b}=\frac{c}{d}\), Chứng minh rằng \(\frac{2a-3c}{2b-3d}=\frac{2a+3c}{2a+3d}\)
Cho a/b=c/d. CMR : 2a-3c/2b-3d=2a+3c/2a+3d
cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\). Chứng minh
a)\(\frac{3a+5b}{3a-5b}=\frac{3c+5d}{3c-5d}\)
b)\(\frac{2a+3b}{2a-3b}=\frac{2c+3d}{2c-3d}\)
cho \(\frac{a}{b}=\frac{c}{d}\)chứng minh rằng \(\frac{2a-3c}{2b-3d}\)=\(\frac{2a+3c}{2a+3d}\)
nhanh minh tink minh can gap camr on cac ban
1. Chứng minh rằng \(\frac{a}{b}\)= \(\frac{c}{d}\)thì \(\frac{a}{b}\)=\(\frac{a+c}{b+d}\)và \(\frac{a}{b}=\)\(\frac{a-c}{b-c}\)
2. Cho \(\frac{a}{b}=\frac{c}{d}\). Chứng minh \(\frac{2a-3c}{2b-3d}=\frac{2a+3c}{2b+3d}\)
cho a/3= c/d. chứng minh rằng 2a-3c/2b-3d=2a+3c/2a+3d
Cho a/b = c/d, chứng minh rằng 2a-3c/2b-3d= 2a+3c/2b+3d
Mong các bạn giúp đỡ!
Cho a/b = c/d. CMR :
a-c/2a+3c = b-d/2b+3d