Knight French
07/18/2024 · Middle School
Варнант 3 1. Выполните действия \( \begin{array}{ll}\frac{2 x+8}{6 x-12}+\frac{6-2 x}{4 x-8} & \frac{2 x+8}{4 x-12}-\frac{2 x-2}{x-3} \\ \frac{52 x^{9}}{102 y^{7}} \cdot \frac{68 y^{5}}{78 x^{6}} & \frac{64 a^{7}}{45 y^{10}}: \frac{6 a^{5}}{135 y^{6}}\end{array} \)
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1. Объединение и преобразование дробей:
\[ \frac{2x+8}{6x-12}+\frac{6-2x}{4x-8} = \frac{x+25}{6(x-2)} \]
\[ \frac{2x+8}{4x-12}-\frac{2x-2}{x-3} = \frac{5}{2(x-3)} \]
2. Умножение и сокращение дробей:
\[ \frac{52x^9}{102y^7} \cdot \frac{68y^5}{78x^6} = \frac{26x^3}{51y^2} \]
3. Преобразование деления на умножение и сокращение:
\[ \frac{64a^7}{45y^{10}} : \frac{6a^5}{135y^6} = \frac{16a^2}{5y^4} \]
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