CHO a/b = c/d . Chứng minh
1) a2004- b2004 / a2004 + b2004 = c2004- d2004 / c2004 + d2004
2) (a2004+ b 2004) 2005/(c2004+d2004) 2005 = (a2005 - b 2005) 2004/ (c2005 - d2005) 2004
3) (20a2006 +11b2006) 2007 /(20a200711b2007) 2006
= (20c2006+ 11d2006) 2007 / (20c2007- 11d 2007)2006
GIÚP MÌNH VS NHÉ
Cho \(\frac{a}{b}=\frac{c}{d}\). Chứng minh:
a) \(\frac{\left(a-b\right)^3}{\left(c-d\right)^3}=\frac{3a^2+2b^2}{3c^2+2d^2}\)
b)\(\frac{4a^4+5b^4}{4c^4+5d^4}=\frac{a^2b^2}{c^2d^2}\)
c)\(\left(\frac{a-b}{c-d}\right)^{2005}=\frac{2a^{2005}-b^{2005}}{2c^{2005}-d^{2005}}\)
d)\(\frac{2a^{2005}+5b^{2005}}{2c^{2005}+5d^{2005}}=\frac{\left(a+b\right)^{2005}}{\left(c+d\right)^{2005}}\)
e)\(\frac{\left(20a^{2006}+11b^{2006}\right)^{2007}}{\left(20a^{2007}-11b^{2007}\right)^{2006}}=\frac{\left(20c^{2006}+11d^{2006}\right)^{2007}}{\left(20c^{2007}-11d^{2007}\right)^{2006}}\)
f)\(\frac{\left(20a^{2007}-11c^{2007}\right)^{2006}}{\left(20a^{2006}+11c^{2006}\right)^{2007}}=\frac{\left(20b^{2007}-11d^{2007}\right)^{2006}}{\left(20b^{2006}+11d^{2006}\right)^{2007}}\)
Cho a/b=c/d chứng tỏ (2005.a-2006.b)/(2006.c-2007.d)=(2005.c-2006.d)/(2006.a-2007.b)
Cho a/b=c/d chứng tỏ (2005.a-2006.b)/(2006.c-2007.d)
Cho tỉ lệ thức \(\frac{a}{b}=\frac{c}{d}\)Chứng minh:
a)\(\frac{\left(20a^{2006}+11b^{2006}\right)^{2007}}{\left(20a^{2007}-11b^{2007}\right)^{2006}^{ }}=\frac{\left(20c^{2006}+11d^{2006}\right)^{2007}}{\left(20c^{2007}-11d^{2007}\right)^{2006}}\)
b)\(\left(4a+5b\right)\left(7c-11d\right)=\left(7a-11b\right)\left(4c+5d\right)\)
20052007 +20072005 chia hết cho 2006
Tìm 2 chữ số cuối của A=\(2^{2000}+2^{2001}+2^{2002}+2^{2003}+2^{2004}+2^{2005}+2^{2006}+2^{2007}\)
a) CMR: 0,5.(2007^2005-2003^2005) là một số nguyên
b) D= 1986^2004-1:1000^2004-1 Ko thuộc Z
Trl Đúng cho 2Like Nha :>>
1)So sanh cac so huu ti (mot cach hop li)
a)4/-9 va 8/-13
b)2005/-2006 va -2007/2004
c)33/-134 va -51/203