Posted by John Terry on Saturday, April 7, 2012 at 3:36pm.
The answers a) and b) are correct.
c )
( x - 1 ) ^ ( 7 / 2 ) - ( x - 1 ) ^ ( 3 / 2 ) =
( x - 1 ) ^ ( 3 / 2 ) * [ ( x - 1 ) ^ ( 4 / 2 ) - 1 ] =
( x - 1 ) ^ ( 3 / 2 ) * [ ( x - 1 ) ^ 2 - 1 ] =
( x - 1 ) ^ ( 3 / 2 ) * [ x ^ 2 - 2x + 1 - 1 ] =
( x - 1 ) ^ ( 3 / 2 ) * ( x ^ 2 - 2x ) =
( x - 1 ) ^ ( 3 / 2 ) * x * ( x - 2 )
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