Simplify (frac{1}{x-3}-frac{3(x-1)}{x^2 – 9})
-
A.
(frac{x-1}{x-3}) -
B.
(frac{-2}{x+3}) -
C.
(frac{x-1}{x+3}) -
D.
(frac{4x}{x^2-9})
Correct Answer: Option B
Explanation
(frac{1}{x-3}-frac{3(x-1)}{x^2 – 9}\
frac{1}{x-3}-frac{3(x-1)}{(x-3)(x+3)}\
frac{x+3-3x+3}{(x-3)(x+3)};frac{-2x+6}{(x-3)(x+3)}\
frac{-2(x-3)}{(x-3)(x+3)}=frac{-2}{x+3})