987654321×12345-987654322×12344的简便运算是什么QAQ

问题描述:

987654321×12345-987654322×12344的简便运算是什么
QAQ

设987654321=a, 12344=b
987654321×12345-987654322×12344
=a×﹙b+1)-(a+1)b
=ab+a-ab-b
=a-b
=987654321- 12344
=987641976

987654321×12345-987654322×12344
=987654321×12345-987654321×12344-12344
=987654321×(12345-12344)-12344
=987654321-12344
=987641977