Cho \(\frac{a}{b}\)=\(\frac{c}{d}\),chứng minh rằng \(\frac{2a-3c}{2b-3d}\)=\(\frac{2a+3c}{2a+3d}\)
Bài 1: Cho \(\frac{2a+3b}{2c+3d}=\frac{5a+b}{5c+d}\) . Chứng minh rằng \(\left(\frac{2a+3c}{2b+3d}\right)^3=\frac{2a^3+3c^2}{2b^2+3d^2}\)
Bài 2:Tìm các số x,y biết \(\frac{x-3}{2y}=\frac{5y+6}{4}=\frac{3}{2y+2}\)
Cho a/b=c/d Với b/d khác +-3/2 . Chứng minh rằng:
a)2a+3c/2b+3d=2a-3c/2b-3d.
b)a^2+c^2/b^2+d^2=ac/bd
cho cho tỉ lệ thức a/b = c/d chứng minh rằng:
2a+3c/2b+3d=2a-3c/2b-3d
làm cách khác nhé !
Cho a/b=c/d chứng minh rằng 2a+c/2b+d=2a-3c/2b-3d
cho tỉ lệ thức ;\(\frac{a}{b}=\frac{c}{d}\). Chứng minh rằng ;
a/\(\frac{a+b}{b}=\frac{c+d}{d}\)
b/\(\frac{a}{a+b}=\frac{c}{c+d}\left(a+b#0;c+d#0\right)\)
c/\(\frac{2a+3c}{2b+3d}=\frac{2a-3c}{2b-3b}\left(2b+3d\ne0;2b-3d\ne0\right)\)
Cho \(\dfrac{a}{b}=\dfrac{c}{d}\). Chứng minh:
1) \(\dfrac{2a+3c}{2b+3d}=\dfrac{2a-3c}{2b-3d}\)
2) \(\dfrac{4a-3b}{4c-3d}=\dfrac{4a+3b}{4c+3d}\)
3) \(\dfrac{3a+5b}{3a-5b}=\dfrac{3c+5d}{3c-5d}\)
4) \(\dfrac{3a-7b}{b}=\dfrac{3c-7d}{d}\)
1.CHO \(\frac{2A+3C}{2B+3D}=\frac{2X-3C}{2B-3D}CMR:\frac{A}{B}=\frac{C}{D}\)
cho a/b = c/d chung minh
1, ( 2a + 3c ) . ( 2b - 3d ) = ( 2a - 3c ) . ( 2b + 3d )
2, ( 4a + 3b ) . ( 4c - 3d ) = ( 4a - 3c ) . ( 4c + 3d )