\(\left(34+2002\right)-\left(256+2003\right)\)
\(=2036-2259\)
\(=-223\)
\(\left(34+2002\right)-\left(256+2003\right)\)
\(=2036-2259\)
\(=-223\)
Tính nhanh
\(A=\left(2004^2+2002^2+2000^2+...+4^2+2^2\right)-\left(2003^2+2001^2+1999^2+...+5^2+3^2+1\right)=\)
Tìm giá trị nhỏ nhất của biểu thức:
\(B=\frac{\left(x-2001\right)\left(y-2002\right)}{\left(x-2001\right)^2+\left(y-2002\right)^2}+\frac{x-2001}{y-2002}\) \(+\frac{y-2002}{x-2001}\)
\(\frac{1}{\left(x+2000\right)\left(x+2001\right)}+\frac{1}{\left(x+2001\right)\left(x+2002\right)}+...+\frac{1}{\left(x+2006\right)\left(x+2007\right)}=\frac{7}{8}\)
\(\frac{7}{\left(x+3\right)\left(x+10\right)}+\frac{11}{\left(x+10\right)\left(x+21\right)}+\frac{13}{\left(x+21\right)\left(x+34\right)}=\frac{x}{\left(x+3\right)\left(x+34\right)}\)
Tìm x, biết:
\(\left(3x+1\right)^2+\left(5x-2\right)^2=34\left(x+2\right)\left(x-2\right)\)
\(3x\left(x-4\right)-x\left(5+3x\right)=-34\)
thu gọn :
a) \(\left(2+1\right)\left(2^2+1\right).....\left(2^{256}+1\right)-1\)
b) \(24\left(5^2+1\right)\left(5^4+1\right)......\left(5^{32}+1\right)-5^{64}\)
giải phương trình\(\left(x-3\right)^4+\left(x+1\right)^4=\)256
Tính gt biểu thức
\(P=\frac{\left(2003^2\cdot2013+31\cdot2004-1\right)\left(2003\cdot2008+4\right)}{2004\cdot2005\cdot2006\cdot2007\cdot2008}\)
Cho \(M=\left(2001x-2003y\right)^3+\left(2003y-2005z\right)^3+\left(2005z-2001x\right)^3,\left(x,y,z\ne0\right)\)
CMR M=0 nếu xảy ra một trong các tỷ lệ thức sau:\(\frac{y}{z}=\frac{2001}{2003},\frac{z}{y}=\frac{2003}{2005},\frac{z}{x}=\frac{2001}{2005}\)