解:1、(10a+4)(10a+6)=100a(a+1)+4×6 即100a(a+1)+242、124×126=12×(12+1)×100+24=12×13×100+24=156243、类似的规律有:(10a+1)(10a+9)=100a(a+1)+9(10a+2)(10a+8)=100a(a+1)+16(10a+3)(10a+7)=100a(a+1)+21(10a+5)(10a+5)=100a(a+1)+25