\(P=\frac{3^{2010}-6^{2010}+9^{2010}-12^{2010}+15^{2010}-18^{2010}}{-1+2^{2010}-3^{2010}+4^{2010}-5^{2010}+6^{2010}}\)
\(P=\frac{-3^{2010}.\left(-1+2^{2010}-3^{2010}+4^{2010}-5^{2010}+6^{2010}\right)}{-1+2^{2010}-3^{2010}+4^{2010}-5^{2010}+6^{2010}}\)
\(P=-3^{2010}\)
Tính A = \(2009^8-2010\cdot2009^7+2010\cdot2009^6-2010\cdot2009^5+2010\cdot2009^4-........-2010\cdot2009^1+2010\cdot2009^0\)
Cho các số a,b,c,d khác 0 . Tính :
T = \(x^{2011}+y^{2011}+z^{2011}+t^{2011}\)
Biết x,y,z,t thỏa mãn :
\(\frac{x^{2010}+y^{2010}+z^{2010}+t^{2010}}{a^2+b^2+c^2+d^2}=\frac{x^{2010}}{a^2}+\frac{y^{2010}}{b^2}+\frac{z^{2010}}{c^2}+\frac{t^{2010}}{d^2}\)
So sánh: (19^2009+5^2009)^2010 và (19^2010+5^2010)^2009
Tìm x, a, 2010-|x-2010|=x. b,|3x-4|+|3x+5|=-9
Cho A=\(1-\frac{1}{2^2}-\frac{1}{3^2}-....-\frac{1}{2010^2}\)
CMR : A > \(\frac{1}{2010}\)
GIÚP MIK VS!!
Cho
\(\frac{a}{b}=\frac{b}{c}=\frac{c}{2010}=\frac{2010}{a}\) và \(a+b+c\ne-2010\)
Tính \(a+b+c=?\)
Giusp mình nha mình đang cần gấp
Tính:
A=\(\frac{7}{3}\).\(\frac{11}{16}\)+\(\frac{10}{3}\).\(\frac{7}{16}\)-\(\frac{7}{6}\).\(\frac{5}{8}\)
B=1+2-3-4+5+6-7-8+.....+2005+2006-2007-2008+2009+2010
C=(1-\(\frac{1}{4}\))(1-\(\frac{1}{9}\))(1-\(\frac{1}{16}\))......(1-\(\frac{1}{100000}\))
D=\(\frac{17\frac{3}{4}.\frac{17}{5}+3\frac{2}{5}.82\frac{1}{4}}{2.34-3.17}\)
E=\(\frac{\frac{2008}{2011}+\frac{2009}{2010}+\frac{2010}{2009}+\frac{2011}{2008}+\frac{2012}{503}}{\frac{1}{2011}+\frac{1}{2010}+\frac{1}{2009}+\frac{1}{2008}}\)
F=(2-\(\frac{2}{1.3}\))+(2-\(\frac{2}{3.5}\))+(2-\(\frac{2}{5.7}\))+.....+(2-\(\frac{2}{2009.2011}\))
tìm x biết :
a)(x+4) / 2010 + (x+3)/2011 =( x+2)/2012 + (x+1)/2013
b) (x-1)/2010 + (x-2)/2009 = (x-3)/2008 + (x-4)/2007
So sánh: P=\(\frac{10^{2010}-1}{10^{2011}-1}\) và Q=\(\frac{10^{2009}-1}{10^{2010}-1}\)
