a) 217 x 11
= 217 x (10 +1)
= 217 x 10 + 217 x 1
= 2170 + 217 = 2387
217 x 9 = 217 x (10-1)
= 217 x 10 - 217 x 1
= 2170 - 217 = 1953
b) 413 x 21 = 413 x (20 + 1)
= 413 x 20 + 413 x 1 = 8673
413 x 19 = 413 x (20-1)
= 413 x 20 - 413 x 1 = 7847
c) 1234 x 31 = 1234 x (30 +1)
= 1234 x 30+ 1234 x 1
= 37020 + 1234 = 38254
875 x 29 = 875 x (30 -1)
= 875 x 30 - 875 x 1
= 26250 - 875 = 25375