Ответ:

  1. \(x^3y-xy^2=xy(x^2-y)\);
  2. \(a^3b^2+a^2b^3=a^2b^2(a+b)\);
  3. \(a^2x^2-ax^3=ax^2(a-x)\);
  4. \(6a^2x+12ax^3=6ax(a+2x^2)\).