Задание

Выбери верные ответы

  1. \(\dfrac{x^3-1}{8y} \cdot \dfrac{16y}{x^2+x+1}=\) [ \(\frac{x-1}{2}\) | \(\frac{2}{x-1}\) | \(2(x-1)\) | \(x-1\) ].
  2. \(\dfrac{a^4-b^4}{ab+2b-3a-6} \cdot \dfrac{a+2}{b-a}=\) [ \(\frac{(a+b)(a^2+b^2)}{3-b}\) | \(\frac{(a+b)(a^2+b^2)}{b-3}\) | \(\frac{(b-3)(a^2+b^2)}{a+b}\) | \(\frac{(3-b)(a^2+b^2)}{a+b}\) ].
  3. \(\dfrac{4x^2-6xy+9y^2}{2x-3y} \cdot \dfrac{9y^2-4x^2}{8x^3+27y^3}=\) [ \(1\) | \(-1\) | \(2x-3y\) | \(3y-2x\) ].
  4. \(\dfrac{a+b}{a^2-4b+4a-b^2} \cdot \dfrac{16-b^2-a^2-2ab}{a^2+ab}=\) [ \(\frac{a(a-b)}{4-a-b}\) | \(\frac{4-a-b}{a(a-b)}\) | \(\frac{4a}{a-b}\) | \(\frac{a-b}{4a}\) ].