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4x²+1+x+1-5x²-5x/(x+1)(x-3)= -x²-4x+2/(x+1)(x-3)
-------------+---------=
(x+1)(x-3) x-3
4x2+1 1-5x(x+1)
-------------+---------------=
(x+1)(x-3) (x-3)(x+1)
4x2+1 1-5x2-5x
-------------+----------------=
(x+1)(x-3) (x-3)(x+1)
4x2+1+1-5x2-5x
------------------=
(x+1)(x-3)
-x2+2-5x
------------------=
(x+1)(x-3)
-x2-5x+2
------------------
(x+1)(x-3)