(1)2001^2-1999^2 (2)14又2分之3×15又3分之1 (3)(x+1)(x-1)(x^2+1)·····(x^32+1)
问题描述:
(1)2001^2-1999^2 (2)14又2分之3×15又3分之1 (3)(x+1)(x-1)(x^2+1)·····(x^32+1)
答
8000 713/3 x^64-1
答
(1)、
2001²-1999²
=2001×2000+2001-(1999×2000-1999)
=2000×(2001-1999)+2001+1999
=2000×2+4000
=8000
(2)、
14又2分之3×15又3分之1
=(31/2)×(46/3)
=713/3
(3)、
(x+1)(x-1)(x^2+1)·····(x^32+1)
=(x²-1)(x²+1).(x^32+1)
=x^64-1