Simplify (frac{3}{2x – 1}) + (frac{2 – x}{x – 2})
-
A.
(frac{2 – x}{(2x – 1)(x – 2)}) -
B.
(frac{5 – x}{(2x – 1)(x – 2)}) -
C.
(frac{4 – 2x}{2x – 1}) -
D.
(frac{6 – 3x}{(2x – 1)(x – 2)})
Correct Answer: Option C
Explanation
(frac{3}{2x – 1}) + (frac{2 – x}{x – 2})
= (frac{3}{2x – 1}) – (frac{x – 2}{x – 2})
= (frac{3}{2x – 1}) – 1
= (frac{3 – (2x – 1)}{2x – 1})
= (frac{3 – 2x + 1}{2x – 1})
= (frac{4 – 2x}{2x – 1})