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\(\frac{2005\times2004-1}{2003\times2005+2004}\)
=\(\frac{2005\times2004-1}{2003\times2005+\left(2005-1\right)}\)
=\(\frac{2005\times2004-1}{2003\times2005+2005-1}\)
=\(\frac{2005\times2004-1}{\left(2003+1\right)\times2005-1}\)
=\(\frac{2005\times2004-1}{2004\times2005-1}\)
=1
= 2005 x ( 2003 + 1 ) - 1/ 2003 x 2005 + 2004
= 2005 x 2003 + 2005 x 1 - 1/ 2003 x 2005 + 2004
= 2005 x 2003 + 2005 -1/ 2003 x 2005 + 2004
= 2003 x 2005 + 2004/ 2003 x 2005 +2004
=1
