**Bài 1. Rút gọn phân thức:** a) \(\frac{6x^2}{4xy}\) b) \(\frac{8x}{12y}\) c) \(\frac{12x^2(x-3)}{15y(x-3y)}\) d) \(\frac{14y}{x^2 - y^2}\) e) \(\frac{x^2 - 4}{x^2 - 2x}\) f) \(\frac{2}{7x^2 + 35y}\) g) \(\frac{2}{x^2 - 4}\) h) \(\frac{5x - 3}{x - 4}\) i) \(\frac{5x - 1}{x(x - 4)}\) **Bài 2. Thực hiện phép tính:** a) \(\frac{x + 6}{x - 2} + \frac{2x}{x + 2}\) b) \(\frac{x^2 - 1}{x + 3} + \frac{2}{x^2 - 4}\) c) \(\frac{5}{x - 4} + \frac{6x - 6}{x - 4}\) d) \(\frac{2x - 5}{x - 4} + \frac{2}{x - 1}\) e) \(\frac{5x - 1}{x(x - 4)}\) f) \(\frac{6}{4} - \frac{5}{7}\) g) \(30 - 7x + \frac{5}{x^2 - 6}\)
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**Bài 1. Rút gọn phân thức:**
a) \(\frac{6x^2}{4xy}\) b) \(\frac{8x}{12y}\)
c) \(\frac{12x^2(x-3)}{15y(x-3y)}\) d) \(\frac{14y}{x^2 - y^2}\)
e) \(\frac{x^2 - 4}{x^2 - 2x}\) f) \(\frac{2}{7x^2 + 35y}\)
g) \(\frac{2}{x^2 - 4}\)
h) \(\frac{5x - 3}{x - 4}\)
i) \(\frac{5x - 1}{x(x - 4)}\)
**Bài 2. Thực hiện phép tính:**
a) \(\frac{x + 6}{x - 2} + \frac{2x}{x + 2}\)
b) \(\frac{x^2 - 1}{x + 3} + \frac{2}{x^2 - 4}\)
c) \(\frac{5}{x - 4} + \frac{6x - 6}{x - 4}\)
d) \(\frac{2x - 5}{x - 4} + \frac{2}{x - 1}\)
e) \(\frac{5x - 1}{x(x - 4)}\)
f) \(\frac{6}{4} - \frac{5}{7}\)
g) \(30 - 7x + \frac{5}{x^2 - 6}\)