因式分解498^2-4,256^2-244^2,2008+2008^-2009^2,996^2-16,2005003-2
4个回答

498²-4=498²-2²

=(498+2)×(498-2)

=500×496=248000

256²-244²

=(256+244)×(256-244)

=500×12=6000

2008+2008²-2009²

=2008(2008+1)-2009²

=2008×2009-2009²

=2009×(2008-2009)

=2009×(-1)

=-2009

996²-16

=996-4²

=(996+4)×(996-4)

=1000×992

=992000

2005003-2003

=(2003000+2003)-2003

=2003000

1001²-202202+101²

=(1000+1)-202202+(100+1)²

=1000000+2000+1-202202+10000+200+1

=1010000+2000+200+2-202202

=1010000-(202202-2202)

=1010000-200000

=810000