(1)(100+2)×43=100×43+2×43,
(2)9×37+9×63=9×(37+63),
(3)(100-25)×4=100×4-25×4,
(4)a×b+a×c=a×(b+c).
故答案为:100,2,9,37,63,100,4,a,b,c.
(1)(100+2)×43=100×43+2×43,
(2)9×37+9×63=9×(37+63),
(3)(100-25)×4=100×4-25×4,
(4)a×b+a×c=a×(b+c).
故答案为:100,2,9,37,63,100,4,a,b,c.