Ответ:
1) \(x^{1/2}+x=x^{1/2}(1+x^{1/2})\).
2) \((ab)^{1/3}+(ac)^{1/3}=a^{1/3}(b^{1/3}+c^{1/3})\).
3) \(y^{1/4}-y^{1/3}=y^{1/4}(1-y^{1/12})\).
4) \(12xy^{1/2}-3x^{1/2}y=3x^{1/2}y^{1/2}(4x^{1/2}-y^{1/2})\).
1) \(x^{1/2}+x=x^{1/2}(1+x^{1/2})\).
2) \((ab)^{1/3}+(ac)^{1/3}=a^{1/3}(b^{1/3}+c^{1/3})\).
3) \(y^{1/4}-y^{1/3}=y^{1/4}(1-y^{1/12})\).
4) \(12xy^{1/2}-3x^{1/2}y=3x^{1/2}y^{1/2}(4x^{1/2}-y^{1/2})\).