√(2005×2006×2007×2008+1) -2006^2= ________
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/09 01:59:53
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√(2005×2006×2007×2008+1) -2006^2= ________
√(2005×2006×2007×2008+1) -2006^2= ________
√(2005×2006×2007×2008+1) -2006^2= ________
√(2005×2006×2007×2008+1)-2006²
=√(2005×2008×2006×2007+1)-2006²
=√[2005×(2005+3)×(2005+1)×(2005+2)+1]-2006²
=√[(2005²+3×2005)×(2005²+3×2005+2)+1]-2006²
=√[(2005²+3×2005)²+2×(2005²+3×2005)+1]-2006²
=√[(2005²+3×2005+1)]²-2006²
=(2005²+3×2005+1)-2006²
=2005²+3×2005+1-2006²
=(2005²-2006²)+3×2005+1
=(2005-2006)(2005+2006)+6016
=-4011+6016
=2005