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Ta có:
2006x2005-1/2004x2006+2005 = 2006x(2004+1)-1 / 2004x2006+2005
= 2006x2004 + 2006 -1 / 2004x2006+2005
= 2006x2004+2005 / 2004x2006+2005
= 1
2006*2005-1/2004*2006+2005
=4022030 - 168/167 + 2005
=4022028,994 + 2005
=4024033 , 994
2006*2005-1/2004*2006+2005
=2006*2005-1/(2005-1)*2006+2005
=2006*2005-1/2005*2006-2006+2005
=2006*2005-1/2005*2006-1
=1
\(\frac{2006\times2005-1}{2004\times2006+2005}\)
\(=\frac{2004\times2006+2006-1}{2004\times2006+2005}\)
\(=\frac{2004\times2006+2005}{2004\times2006+2005}\)
\(=1\)
\(=\frac{2006\cdot2005-1}{2005\cdot2006-2006\cdot1+2005}\)
\(=\frac{2006\cdot2005-1}{2005\cdot2006-2006-2005}\)
\(=\frac{2006\cdot2005-1}{2005\cdot2006-1}\)
\(\Rightarrow1\)
\(\frac{2005.2006-1}{2006.2004+2005}\)
\(=\frac{2004.2006+2006-1}{2006.2004+2005}\)
\(=\frac{2004.2006+2005}{2006.2004+2005}\)
\(=1\)
\(\frac{2005.2006-1}{2006.2004+2005}=\frac{\left(2004+1\right).2006-1}{2006.2004+2005}\)
\(=\frac{2004.2006+\left(2006-1\right)}{2006.2004+2005}\)
\(=\frac{2004.2006+2005}{2006.2004+2005}=1\)
2005 x (2006 - 1 )
= 2005 x 2005
= 4020025
2005 x (2004 + 2005 )
= 2005 x ( 2004 + 1 ) = 2005 x 2005 = 4020025
vì 2006x2005=-4.022.030-1=4.022.029
2004x2006=4.020.024+2005=4.022.029
4.022.029:4.022.029=1
\(=\frac{2006x\left(2004+1\right)-1}{2004x2006+2005}=\frac{2006x2004+2005}{2004x2006+2005}=1\)
\(=\frac{2006\cdot2004+2006.1-1}{2004\cdot2006+2005}\)
\(=\frac{2006\cdot2004+2006-1}{2004\cdot2006+2005}\)
\(=\frac{2006\cdot2004+2005}{2004\cdot2006+2005}\)
\(\Rightarrow1\)