2011 Cube - 2 × 2011 SQUARE - 2009 / 2011 cube + 2011 SQUARE - 2012 2011 Cube - 2 × 2011 SQUARE - 2009 / 2011 cube + 2011 SQUARE - 2012 using factorization Ask for advice! | Math enthusiast | Mathematical art

2011 Cube - 2 × 2011 SQUARE - 2009 / 2011 cube + 2011 SQUARE - 2012 2011 Cube - 2 × 2011 SQUARE - 2009 / 2011 cube + 2011 SQUARE - 2012 using factorization Ask for advice!

2011 Cube - 2 × 2011 SQUARE - 2009 / 2011 cube + 2011 SQUARE - 2012
=[2011²(2011-2) - 2009 ]/ [ 2011²(2011+1) -2012 ]
=2009×(2011²-1) / 2012×(2011²-1)
=2009/2012

The difference between the squares of two positive integers is 195

x²-y²=195=3X5X13
(x-y)(x+y)=1X195 x=98 y=97
(x-y)(x+y)=3X65 x=34 y=31
(x-y)(x+y)=5X39 x=22 y=17
(x-y)(x+y)=13X15 x=14 y=1

What is the square of 2011

Under the root sign

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