Задание

Выбери верные ответы

Выполни умножение алгебраических дробей \(\boldsymbol{\dfrac{5x+5y}{x-y} \cdot \dfrac{x^2-y^2}{10x}.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{(x-y)^2}{5x}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{5}{(x+y)^2}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{(x+y)^2}{2x}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{5}{(x-y)^2}}}}\)

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Выполни умножение алгебраических дробей \(\boldsymbol{\dfrac{7a^3b^5}{3a-3b} \cdot \dfrac{6b^2-12ab+6a^2}{49a^4b^5}.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{2(a-b)}{7a}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{7a}{b-a}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{a-b}{7a}}}}\)
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Выполни умножение алгебраических дробей \(\boldsymbol{\dfrac{2x}{x-4} \cdot \dfrac{x^2-16}{5x-12}.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{\frac{5x-12}{2x(x+4)}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\frac{2x(x+4)}{5x-12}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\frac{x+4}{5x-12}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\frac{x(x+4)}{5x-12}}}}\)
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Выполни умножение алгебраических дробей \(\boldsymbol{\dfrac{ab}{m^3+m^2} \cdot \dfrac{m+m^2}{a^3b^3}.}\)

  • \(\textcolor{white}{\boxed{\textcolor{black}{m^2a^2b^2}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{1}{ma^2b^2}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{m^2}{a^2b^2}}}}\)
  • \(\textcolor{white}{\boxed{\textcolor{black}{\dfrac{a^2b^2}{m^2}}}}\)
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