Các câu hỏi tương tự
Cho \(\frac{a}{b}=\frac{c}{d}\)
CMR:\(\frac{a^{2004}-b^{2004}}{a^{2004}+b^{2004}}=\frac{c^{2004}-d^{2004}}{c^{2004}+d^{2004}}\)
CMR:\(\frac{a^{2005}}{b^{2005}}=\frac{\left(a-c\right)^{2005}}{\left(b-d\right)^{2005}}\)
Giúp với ạ(mn đừng giải bằng cách đặt k nha)
Cho \(\frac{a}{b}=\frac{c}{d}\)Chứng tỏ
\(\frac{\left(a^{2004}+b^{2004}\right)^5}{\left(c^{2004}+d^{2004}\right)^5}=\left(\frac{a^{2005}+b^{2005}}{c^{2005}-d^{2005}}\right)^{2004}\)
Biết \(\frac{a}{b}=\frac{c}{d}\). Chứng minh:
a/\(\frac{a^{2004}-b^{2004}}{a^{2004}+b^{2004}}=\frac{c^{2004}-d^{2004}}{c^{2004}+d^{2004}}\)
b. \(\frac{a^{2005}}{b^{2005}}=\frac{\left(a-c\right)^{2005}}{\left(b-d\right)^{2005}}\)
cho \(\frac{a}{2003}=\frac{b}{2004}=\frac{c}{2005}\) chứng minh rằng : \(4\left(a-b\right).\left(b-c\right)=\left(c-a\right)^2\)
Cho \(\frac{a}{2003}\)=\(\frac{b}{2004}=\frac{c}{2005}\). Chứng minh rằng :\(4\left(a-b\right)\left(b-c\right)=\left(c-a\right)^2\)
Cho \(\frac{a}{2003}=\frac{b}{2004}=\frac{c}{2005}\). CMR: 4(a-b)(b-c) = (c-a)\(^2\)
Cho \(\frac{a}{2003}=\frac{b}{2004}=\frac{c}{2005}\)
CMR :4(a-b)(b-c)=(a-a)2
Tìm x: a, \(\frac{x-2004}{2003}+\frac{x-2003}{2004}+\frac{x-2005}{2004}=3+\frac{2005}{2003}\)\(+\frac{2004}{2005}\)
Cho \(\frac{a}{2003}=\frac{b}{2004}=\frac{c}{2005}\)
Chứng minh rằng: \(4\left(a-b\right)\left(b-c\right)=\left(c-a\right)^2\)