Cho a/b = c/d với a,b,c,d khác 0. CMR: a^2-c^2/b^2-d^2=a.c/b.d
cho \(\frac{a}{b}=\frac{c}{d}.CMR\frac{a.c}{b.d}=\frac{a^2+c^2}{b^2+d^2}\)
Cho \(\frac{a}{b}=\frac{c}{d}\)CMR:
\(a,\frac{a.c}{b.d}=\frac{a^2+c^2}{b^2+d^2}\) \(b,\frac{a.c}{b.d}=\frac{a^2-c^2}{b^2-d^2}\)\(c,\frac{a.c}{b.d}=\frac{\left(a-b\right)^2}{\left(c-d\right)^2}\)
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Cho a/b = c/d . CMR :
a) a/b = a+c /b+d
b) a /3a+b = c /3c+d
c) a.c /b.d = a2+c2 / b2+d2
d) a.b /c.d = (a-b)2 /(c-d)2
cho \(\frac{a}{b}=\frac{c}{d},\)(b+d khác 0), CMR\(\frac{a^2+c^2}{b^2+d^2}=\frac{a.c}{b.d}\)
Cho \(\frac{a}{b}=\frac{c}{d}\). CMR \(\frac{a.c}{b.d}=\frac{a^2+c^2}{b^2+d^2}\)
cho \(b^2\)=a.c; \(c^2\)= b.d. CMR: \(\left(\dfrac{a.b.c}{b.c.d}\right)\)^2=\(\dfrac{a}{d}\)
a/b = c/d
CMR
a, 5a + 3b/5a- 3b = 5c+3d/5c-3d
b, 7a^2 + 3ab / 11a^2- 8b^2= 7c^2 + 3cd
c, a.c / b.d = a^2 + c^2/ b^2 + d^2
cho 4 so a,b,c,d sao cho a.c=b^2,b.d=c^2. chung minh a/d=a^2+b^2+c^2/b^2+c^2+d^2