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 a/b=c/d. CMR:
a,5a-3b/3a+2b=5c-3d/3c+2d
b,2a+7b/a-2b=2c+d/c-2d
c,ac/bd=(ac)mũ 2/(bd)mũ 2
d,2a mũ 2+3c mũ 2/3b mũ 2+3d mũ 2=5a mũ 2-2c mũ 2/2b mũ 2- 2d mũ 2
Cho \(\frac{a}{b}=\frac{c}{d}\).CMR :
a/ \(\frac{a+c}{b+d}=\frac{a-c}{b-d}\)
b/\(\frac{2a+3c}{2d+3d}=\frac{2a-3c}{2b-3d}\)
c/\(\frac{a^2+c^2}{b^2+d^2}=\frac{ac^2}{bd}\)
Cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\).Hãy suy ra :
a/ \(\frac{a+c}{b+d}=\frac{a-c}{b-d}\)
b/\(\frac{2a+3c}{2d+3d}=\frac{2a-3c}{2b-3d}\)
c/ \(\frac{a^2+c^2}{b^2+d^2}=\frac{ac}{bd}\)
Cho tỉ lệ thức a/b. Với b/d khác +- 3/2
Cm : 1) 2a + 3c/2b + 3d = 2a - 3c /2b - 3d
2) a^2 + c^2/b^2+d^2
Cho tỉ lệ thức a/b. Với b/d khác +- 3/2
Cm : 1) 2a + 3c/2b + 3d = 2a - 3c /2b - 3d
2) a^2 + c^2/b^2+d^2
Cho a/b=c/d. CMR:
1) a2 /c2=2a2 + 3b2/ 2c2+3d2
2) 2a - 3c/c = 2b-3d/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 )
Cho a/b= c/d.CMR :
a, 3a+2b/2a+3b= 3c+2b/2c+3d
b, ( a+b)^2 / ( a-b)^2= ( c-d )^2