5X+3 3X--11------- --- ---------X--1 1--X

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5X+3 3X--11------- --- ---------X--1 1--X
5X+3 3X--11
------- --- ---------
X--1 1--X

5X+3 3X--11------- --- ---------X--1 1--X
(5x+3)/(x-1)-(3x-11)/(1-x)
=(5x+3)/(x-1)+(3x-11)/(x-1)
=(5x+3+3x-11)/(x-1)
=(8x-8)/(x-1)
=8

=8

(5x+3)/(x-1)-(3x-11)/(1-x)
=(5x+3)/(x-1)+(3x-11)/(x-1)
=(5x+3+3x-11)/(x-1)
=8(x-1)/(x-1)
=8