问题
计算题
(1)因式分解:16a4﹣8a2+1;
(2)计算:9999×10001.
答案
解:(1)16a4﹣8a2+1,
=(4a2)2﹣8a2+1,
=(4a2﹣1)2,
=(2a﹣1)2(2a+1)2;
(2)9 999×10 001,
=(10 000﹣1)(10 000+1),
=10 0002﹣12,
=99 999 999.
(1)因式分解:16a4﹣8a2+1;
(2)计算:9999×10001.
解:(1)16a4﹣8a2+1,
=(4a2)2﹣8a2+1,
=(4a2﹣1)2,
=(2a﹣1)2(2a+1)2;
(2)9 999×10 001,
=(10 000﹣1)(10 000+1),
=10 0002﹣12,
=99 999 999.