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Rú gọn biểu thức G = \(\frac{1^{2010}+2^{2010}+3^{2010}+....................+10^{2010}}{2^{2010}+4^{2010}+6^{2010}+.....................+20^{2010}}\)
Rút gọn
A=\(\frac{3^{2010}-6^{2010}+9^{2010}-12^{2010}+15^{2010}-18^{2010}}{1+2^{2010}-3^{2010}+4^{2010}-5^{2010}+6^{2010}}\)
rút gọn biểu thức: P=\(\frac{3^{2010}-6^{2010}+9^{2010}-12^{2010}+15^{2010}-18^{2010}}{-1+2^{2010}-3^{2010}+4^{2010}-5^{2010}+6^{2010}}\)
1.
a, (7.610.220.36-219.615) : (9.619.29-4.317.226)
b, (5.415.99-4.320.89) : (5.29.619-2.229.276)
2.Cho bieu thuc
A=2010+20102+20103+.....+20102009+20102010
Chung minh rang A chia het cho 11
Rút gọn:
32020 - 62010 + 92010 - 122010 + 152010 - 182010
-1 + 22010 - 32010 + 42010 - 52010 + 62010
Choa,b,c,d khác 0:
\(\frac{x^{2010}+y^{2010}z^{2010}+t^{2010}}{a^2+b^2+c^2+d^2}=\frac{x^{2010}}{a^2}+\frac{y^{2010}}{b^2}+\frac{z^{2010}}{c^2}+\frac{t^{2010}}{d^2}\)
Tính\(T=x^{2010}+y^{2010}+z^{2010}+t^{2010}\)
Bài 5: Cho M =1+2010+20102+20103+20104+20105+20106+20107
CM:M chia hết cho 2011
tính \(2009-\frac{2010}{3}-\frac{2010}{6}-\frac{2010}{15}-\cdot\cdot\cdot-\frac{2010}{45}\)
\(\frac{2010}{2}+\frac{2010}{6}+\frac{2010}{12}+.....+\frac{2010}{9900}\)
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