1) (5x^2 - 8x + 3) / (25x^2 - 9)
Factor the numerators and denominators:(5x - 3)(x - 1) / ((5x + 3)(5x - 3))
Cancel out the common factor:(x - 1) / (5x + 3)
Final answer: (x - 1) / (5x + 3)
2) (x + 1) / (2x^2 - x - 3)
Factor the denominator:(x + 1) / ((2x + 3)(x - 1))
Final answer: (x + 1) / (2x + 3)(x - 1)
1) (5x^2 - 8x + 3) / (25x^2 - 9)
Factor the numerators and denominators:
(5x - 3)(x - 1) / ((5x + 3)(5x - 3))
Cancel out the common factor:
(x - 1) / (5x + 3)
Final answer: (x - 1) / (5x + 3)
2) (x + 1) / (2x^2 - x - 3)
Factor the denominator:
(x + 1) / ((2x + 3)(x - 1))
Final answer: (x + 1) / (2x + 3)(x - 1)