Ответ:

  1. \(a^2-b^2=(a+b)(a-b)\).
  2. \(y^{2/3}-1=(y^{1/3}-1)(y^{1/3}+1)\).
  3. \(a^{2/3}-b^{2/3}=(a^{1/3}-b^{1/3})(a^{1/3}+b^{1/3})\).
  4. \(x-y=(\sqrt{x}-\sqrt{y})(\sqrt{x}+\sqrt{y})\).
  5. \(4a^{1/2}-b^{1/2}=(2\sqrt a-\sqrt b)(2\sqrt a+\sqrt b)\).
  6. \(0{,}01m^{1/6}-n^{1/6}=(0{,}1m^{1/12}-n^{1/12})(0{,}1m^{1/12}+n^{1/12})\).