(1 17 19)×(17 19 92)-(1 17 19 92)×(17 19)怎么简便计算?

2025-06-27 21:55:47
推荐回答(1个)
回答1:

(1+17+19)×(17+19+92)-(1+17+19+92)×(17+19)
=(1+17+19)×[(17+19)+92]-[(1+17+19)+92]×(17+19)
=[(1+17+19)×(17+19)+(1+17+19)×92]-[(1+17+19)×(17+19)+92×(17+19)]
=(1+17+19)×(17+19)-(1+17+19)×(17+19)+(1+17+19)×92-92×(17+19)
=(1+17+19)×92-92×(17+19)
=92+(17+19)×92-92×(17+19)
=92