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[tex]1) \frac{a+b}{\sqrt{ab}-b}- \frac{2\sqrt{a}}{\sqrt{a}-\sqrt{b}} \\ \\
2) ( \frac{2\sqrt{x}}{2\sqrt{x}+\sqrt{y}}-\frac{4x}{4x+4\sqrt{xy}+y}):(\frac{2\sqrt{x}}{4x-y}+\frac{1}{ \sqrt{y}-2\sqrt{x}}) [/tex]
[tex]1) \frac{a+b}{\sqrt{ab}-b}- \frac{2\sqrt{a}}{\sqrt{a}-\sqrt{b}} \\ \\
2) ( \frac{2\sqrt{x}}{2\sqrt{x}+\sqrt{y}}-\frac{4x}{4x+4\sqrt{xy}+y}):(\frac{2\sqrt{x}}{4x-y}+\frac{1}{ \sqrt{y}-2\sqrt{x}}) [/tex]
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1(a+b)/√b(√a-√b) -2√a/(√a-√b)=(a+b-2√ab)/√b(√a-√b)=(√a-√b)²/√b(√a-√b)=
=(√a-√b)/√b
2
1)2√x/(2√x+√y)-4x/(2√x+√y)²=(4x+2√xy-4x)/(2√x+√y)²=2√xy/(2√x+√y)²
2)2√x/(2√x-√y)(2√x+√y)-1/(2√x-√y)=(2√x-2√x-√y)/(2√x-√y)(2√x+√y)=
=-√y/(2√x-√y)(2√x+√y)=√y/(√y-2√x)(2√x+√y)
3)2√xy/(2√x+√y)²:√y/(√y-2√x)(2√x+√y)=2√xy/(2√x+√y)²*(√y-2√x)(2√√x+√y)/√y=
=2√x(√y-2√x)/(2√x+√y)