简便计算:①999*999+1999 ②9999*9999+19999
问题描述:
简便计算:①999*999+1999 ②9999*9999+19999
答
①
999*999+1999
=(1000-1)²+1999
=1000²-2000+1+1999
=1000²
=1000000
②
9999*9999+19999
=(10000-1)²+19999
=10000²-20000+1+19999
=10000²
=100000000