Упростить: 1) [latex] (x^{1/2} - y ^{1/2}) + 2 x^{1/2} * y ^{1/2} [/latex] 2) [latex]( x^{1/4} + 1) (x ^{1/4 } -1) ( x^{1/2} -1) [/latex]

[latex]1)\; \; (x^{ \frac{1}{2} }-y^{ \frac{1}{2} })+2x^{ \frac{1}{2} }\cdot y^{ \frac{1}{2} }=(x^{ \frac{1}{4} })^2-(y^{ \frac{1}{4} })^2+2x^{ \frac{1}{2} }\cdot y^{ \frac{1}{2} }=\\\\=(x^{ \frac{1}{4} }-y^{ \frac{1}{4} })(x^{\frac{1}{4}}+y^{ \frac{1}{4} })+2x^{\frac{1}{2}}\cdot y^{\frac{1}2}}\\\\2)\; \; (x^{\frac{1}{4}}+1)(x^{ \frac{1}{4} }-1)\cdot (x^{\frac{1}{2}}-1)=(x^{ \frac{1}{2} }-1)\cdot (x^{ \frac{1}{2} }-1)=(x^{ \frac{1}{2} }-1)^2[/latex]