分式乘除法运算(1999²-2005)(1999²+3995)x2000--------------
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分式乘除法运算
(1999²-2005)(1999²+3995)x2000
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1996x1998x2001x2002
(1999²-2005)(1999²+3995)x2000
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1996x1998x2001x2002
![分式乘除法运算(1999²-2005)(1999²+3995)x2000--------------](/uploads/image/z/5536701-45-1.jpg?t=%E5%88%86%E5%BC%8F%E4%B9%98%E9%99%A4%E6%B3%95%E8%BF%90%E7%AE%97%281999%26%23178%3B-2005%EF%BC%89%EF%BC%881999%26%23178%3B%2B3995%EF%BC%89x2000--------------)
令a=1999
则分子=[a²-(a+6)][a²+1999×2-3]×(a+1)
=(a²-a-6)(a²+2a-3)(a+1)
=(a-3)(a+2)(a+3)(a-1)(a+1)
分母=(a-3)(a-1)(a+2)(a+3)
所以原式=a+1=2000
则分子=[a²-(a+6)][a²+1999×2-3]×(a+1)
=(a²-a-6)(a²+2a-3)(a+1)
=(a-3)(a+2)(a+3)(a-1)(a+1)
分母=(a-3)(a-1)(a+2)(a+3)
所以原式=a+1=2000