计算题①﹙a+1﹚²﹙a-1﹚² ②2009²-2008×2010①﹙a+1﹚²﹙a-1﹚²②2009²-2008×2010

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计算题①﹙a+1﹚²﹙a-1﹚² ②2009²-2008×2010
①﹙a+1﹚²﹙a-1﹚²
②2009²-2008×2010

①﹙a+1﹚²﹙a-1﹚²
=[(a+1)(a-1)]²
=(a²-1)²
=a^4-2a²+1
②2009²-2008×2010
=2009²-(2009-1)×(2009+1)
=2009²-(2009²-1)
=2009²-2009²+1
=1

①﹙a+1﹚²﹙a-1﹚²
=[(a+1)(a-1)]²
=(a²-1)²
=a^4-2a²+1
②2009²-2008×2010
=2009²-(2009-1)(2009+1)
=2009²-2009²+1
=1

①=(a+1)(a-1)(a+1)(a-1)
=(a²-1)(a²-1)
=a四次方-2a²+1
②=2009²-(2009-1)×(2009+1)
=2009²-(2009²-1)
=1