a) 54 x 2009 + 45 x 2009 + 2009
= 54 x 2009 + 45 x 2009 + 2009 x 1
= 2009 x ( 54 + 45 + 1)
= 2009 x 100
= 200900
b) 117 x ( 83 + 17 ) - 17 x ( 17 + 83)
= 117 x 100 - 17 x 100
= 100 x ( 117 - 17 )
= 100 x 100
= 10000
c) 997 x 4 + 997 x 6
= 997 x ( 6 + 4 )
= 997 x 10
= 9970
_HT_