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Difficult

Fractions Involving Polynomials

SATMAT-R0TJ3R

$\cfrac { 4x-{ x }^{ 2 } }{ { x }^{ 2 }-2x } +\cfrac { 1-x }{ { x }^{ 2 }-3x+2 }$ is equivalent to which of the following expressions?

(No Calculator)

A

$-\cfrac { x+3 }{ x-2 }$

B

$-\cfrac { x-3 }{ x-2 }$

C

$-\cfrac { x-3 }{ 2-x }$

D

$\cfrac { 5-x }{ x-2 }$