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 phân số a/b = c/d . Chứng minh rằng a) a/a-b = c/c-d b) 3a +2c/3b+2d = -5a + 3c/-5b+3d c) a^2/b^2= 2c^2-ac/2d^2-bd
Minh dan gap giup minh voi nhe thank nhiu
1 a) 2a=3b:5b=7c và 3a +5c-7b=30
b)\(\frac{x-1}{2}=\frac{x+3}{4}=\frac{z-5}{6}\)và 5z-3x-4y=50
c)3x=4y=6z và x-3y+2z=70
d)\(\frac{6}{11}x=\frac{9}{2}y=\frac{18}{5}z\)và x+y+z=20
2 cho \(\frac{a}{b}=\frac{c}{d}\)và a;b;c;d\(\ne\)0
a)\(\frac{a}{a-b}\frac{c}{d}\)
b)\(\frac{ac}{bd}=\frac{a^2+c^2}{b^2+d^2}\)
c)\(\frac{a}{3a+b}=\frac{c}{3c+d}\)
d)\(\frac{a^2-b^2}{c^2-d^2}=\frac{ab}{cd}\)
g)\(\frac{5a+3b}{5c+3b}=\frac{5a-3b}{5c-3d}\)
h)\(\frac{2a+3b}{2a-3d}=\frac{2c+3d}{2c-3d}\)
Cho a:b=c:d , cmr
a) (5a+3b):(5c+3d)=(5a-3b):(5c-3d)
b) (ac):(bd)=(a+c)^2:(b+d)^2
c) [(a+b):(c+d)]^3=(a^3-b^3):(c^3-d^3)
1)Cho a/a+b=c/c+d Chứng minh rằng: a/b= c/d 2)cho a/b=c/d, chứng minh rằng a)3a+2c/3b+2d=-5a+3c/-5b+3d b)a^2/b^2=2c^2-ac/2d^2-b-d NHANH NHA! MÌNH ĐANG CẦN GẤP!!!
a) Cho tỉ leek thức a^2 +b^2 /c^2 +d^2 =ab/cd
chứng minh a/b=c/d ( ac-bd #0)
b) Cho tỉ lệ thức a/b =c/d
CMR : 5a+3b/5a-3b = 5c+3d/5c-3d
a/b+c+d=b/a+c+d=c/b+a+d=d/c+b+a
P=2a+5b/3c+4d-2b+5c/3d+4a-2c+5d/3a+4b+2d+5a/3c+4b
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) \(\dfrac{3a-7b}{b}=\dfrac{3c-7d}{d}\)
Cho tỉ lệ thức a/b=c/d.Chứng minh
a)3a+5b/3a-5b=3c+5d/3c-5d
b) 2a + 3b/ 2a - 3b= 2c+3d/2c-3d
c)ab/cd=a^2-b^2/c^2-d^2