( Х + 5 )( Х - 3 ) = х^2 - 3х + 5х - 15 = х^2 + 2х - 15
( Х + 1 )( Х + 6 ) = х^2 + 6х + Х + 6 = х^2 + 7х + 6
Х^2 + 2х - 15 - ( х^2 + 7х + 6 ) = х^2 + 2х - 15 - х^2 - 7х - 6 = - 5х - 21
Ответ ( - 5х - 21 )
f(x)' = (x^2/2x-1)' = ( (x^2)' (2x-1) -x^2*(2x-1)' ) / (2x-1)^2 =
= ( 2x (2x-1) - x^2*2 ) / (2x-1)^2 = ( 4x^2 -2x - 2 x^2 ) / (2x-1)^2 =
= ( 2x^2 -2x ) / (2x-1)^2 = 2x( x -1 ) / (2x-1)^2