a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)

a) \(\left(\right. 6 x^{3} y^{2} - 27 x^{3} y \left.\right) : 3 x y = 2 x^{2} y - 9 x^{2}\).

b) \(\left(\right. \frac{2}{3^{2}} x^{4} \left.\right) . \left(\right. 3 y x^{5} \left.\right) = \left(\right. \frac{2}{9} . 3 \left.\right) \left(\right. x^{4} \cdot x^{5} \left.\right) y = \frac{2}{3} x^{9} y\).

c) \(\frac{x^{2}}{x^{2} - 4} + \frac{1}{x - 2} + \frac{1}{x + 2} = \frac{x^{2}}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x + 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} + \frac{x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + x + 2 + x - 2}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x^{2} + 2 x}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x \left(\right. x + 2 \left.\right)}{\left(\right. x - 2 \left.\right) \left(\right. x + 2 \left.\right)} = \frac{x}{x - 2}\)