Home » Simplify (frac{1}{x-3}-frac{3(x-1)}{x^2 – 9})

Simplify (frac{1}{x-3}-frac{3(x-1)}{x^2 – 9})

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})

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