99*99+199怎么算最简便

问题描述:

99*99+199怎么算最简便

99*99+99+100=99*(99+1)+100=100*(99+1)=10000

99*99+199
=99*(100-1)+199
=9900-99+199
=9900+(99-199)
=9900+100
=10000

=99*99+99+100
=99*(99+1)+100
=99*100+100
=100*(99+1)
=10000

99*99+199=(100-1)^2+200-1=10000-200+1+200-1=10000

=99*99+99+100
=99*(99+1)+100
=99*100+100
=9900+100
=10000

99*99+199
=99*99+99+100
=99*(99+1)+100
=99*100+100
=100*(99+1)
=100*100
=10000

99*99+99+100=99*(99+1)+100=9900+100=10000