2006 Square-2005 times 2007

2006 Square-2005 times 2007

2005 By 2007
Use square difference
=(2006-1)(2006+1)
=2006²-1
So original formula =2006 2-2006 2+1
=1

2005 By 2007
Use square difference
=(2006-1)(2006+1)
=2006²-1
Therefore, the original expression =2006 2-2006 2+1
=1

2005 By 2007
Use square difference
=(2006-1)(2006+1)
=2006²-1
Therefore, the original2006 2-2006 2+1
=1

2005×2007+2006 Squared

2006²/(2005*2007+1)
=2006²/((2006-1)*(2006+1)+1)
=2006²/(2006²-1+1)
=2006²/2006²
=1