2004.05×1997.05-2001.05×1999.05 (求简便运算)

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2004.05×1997.05-2001.05×1999.05 (求简便运算)
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2004.05×1997.05-2001.05×1999.05 (求简便运算)
2004.05×1997.05-2001.05×1999.05 (求简便运算)

2004.05×1997.05-2001.05×1999.05 (求简便运算)
解2004.05×1997.05-2001.05×1999.05
=(2001.05+3)×(1999.05-2)-2001.05×1999.05
=2001.05×1999.05 -2001.05×2+3×1999.05-6-2001.05×1999.05
=-2001.05×2+3×1999.05-6
=-2001.05×2+3×(2001.05-2)-6
=-2001.05×2+3×2001.05-6-6
=2001.05×(3-2)-12
=2001.05-12
=1989.05



原式=(2001.05+3)×(1999.05-2)-2001.05×1999.05
=2001.05×1999.05-2×2001.05+3×1999.05-3×2-2001.05×1999.05
=-2×2001.05+3×1999.05-6
=-4002.1+5997.15-6
=5997.15-4008.1
=1991.05

2003.05×1997.05-2001.05×1999.05
=(2000.05+3)×(2000.05-3)-(2000.05+1)×(2000.05-1)
=2000.05²-3²-2000.05²+1²
=-3²+1²
=-9-1
=-8